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ineedyouubiebs

  • 2 years ago

Yvette has 5 more nickels than dimes. If the value of her money is $1.30, how many coins of each kind does she have?

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  1. ineedyouubiebs
    • 2 years ago
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    @gypsy1274 help me please?

  2. gypsy1274
    • 2 years ago
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    Do you know how to solve systems of equations?

  3. ineedyouubiebs
    • 2 years ago
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    Yes I do

  4. ineedyouubiebs
    • 2 years ago
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    @gypsy1274

  5. gypsy1274
    • 2 years ago
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    No need to tag me, after I post a response, I will get a notification whenever another response is posted. nickels + dimes = 1.30 The second equation will need to include the values of those coins. Give it a try.

  6. ineedyouubiebs
    • 2 years ago
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    I'm still a bit confused on this so far I got $1.05

  7. ineedyouubiebs
    • 2 years ago
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    Umm @gypsy1274 ?

  8. gypsy1274
    • 2 years ago
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    What is $1.05? What was the second equation?

  9. ineedyouubiebs
    • 2 years ago
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    Well I did $0.25+x=$1.50

  10. gypsy1274
    • 2 years ago
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    Brain went dead....rebooting.....

  11. ineedyouubiebs
    • 2 years ago
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  12. gypsy1274
    • 2 years ago
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    My train of thought derailed, let me get it back on track.....

  13. gypsy1274
    • 2 years ago
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    Yvette has 5 more nickels than dimes. If the value of her money is $1.30, how many coins of each kind does she have? \(n=d+5\) because there are five more nickels than dimes.

  14. gypsy1274
    • 2 years ago
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    \(0.05n+0.10d=1.30\) because the value of the nickels plus dimes equals $1.30 Train is back on the rails now, sorry for the delay folks....

  15. ineedyouubiebs
    • 2 years ago
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    It's fine I guess I just want to figure this problem out because I have more HW to do for other classes

  16. gypsy1274
    • 2 years ago
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    Do you understand these equations and where they came from? I'm sure they are correct this time, just verified it.

  17. ineedyouubiebs
    • 2 years ago
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    Since it says "5 more nickels" doesn't that mean it'll be 0.25 because your adding all the dimes together?

  18. gypsy1274
    • 2 years ago
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    5 nickels are $0.25, that's true, but in that sentence, they are talking about the number of the coins not the values. The number of nickels equals the number of dimes plus five.

  19. ineedyouubiebs
    • 2 years ago
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    How do I know what to plug in in n and d ?

  20. gypsy1274
    • 2 years ago
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    You don't plug in, you solve for them. \(n=d+5\) is already solved for n so plug \(d+5\) in for n in the other equation: \(0.5n+0.1d=1.30 \implies 0.5(d+5)+0.1d=1.30\)

  21. ineedyouubiebs
    • 2 years ago
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    I know you're trying to help me but your explaining it very good

  22. ineedyouubiebs
    • 2 years ago
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    I mean your not explaining it good my bad lol

  23. gypsy1274
    • 2 years ago
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    @DebbieG - Perhaps you can try?

  24. gypsy1274
    • 2 years ago
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    @e.mccormick I'm confusing this poor student, maybe you could help clarify?

  25. ineedyouubiebs
    • 2 years ago
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    @gypsy1274 thanks for trying though(: I appreciate it

  26. e.mccormick
    • 2 years ago
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    Yah, I would do it with one equation. You have Dimes x and nickles x+5. Then, when you add those up with the proper value assigned you get 1.3.

  27. ineedyouubiebs
    • 2 years ago
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    What do you mean "add those up with the proper value"?

  28. e.mccormick
    • 2 years ago
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    A dime is not just a word. It is a decimal value. =)

  29. e.mccormick
    • 2 years ago
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    There is no reason for n or d because those have values. There is a count relationship between them. That count is a variable. So there are x dimes and x+5 nickles.

  30. ineedyouubiebs
    • 2 years ago
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    It still doesn't make much sence, my bad

  31. e.mccormick
    • 2 years ago
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    If I said I had 72 dimes, you would instanly know I had $7.20. Right?

  32. ineedyouubiebs
    • 2 years ago
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    Yes

  33. e.mccormick
    • 2 years ago
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    But why would you know?

  34. ineedyouubiebs
    • 2 years ago
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    Bc if I multiply 0.72 and 10 I get 7.20

  35. e.mccormick
    • 2 years ago
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    Why .72? I had 72, not 72% of a dime.

  36. ineedyouubiebs
    • 2 years ago
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    Bc 72 dimes is written like that in decimal point

  37. e.mccormick
    • 2 years ago
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    Yes. A dime is ten cents, or $0.10, and 72\(\times\)$0.10. Similarly, a nickle is five cents or $0.05. All I am saying is use that knowledge in the setup of the problem.

  38. ineedyouubiebs
    • 2 years ago
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    Would it be 0.10(5)+d=1.30

  39. e.mccormick
    • 2 years ago
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    Not sure how you got there, but it is progress! That is one equation with one unknown, which is great. It is just not the right equation.

  40. e.mccormick
    • 2 years ago
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    If I try and find d dimes and n nickles, I have to do two equations in two unknowns. But, if I restate the question this way: Yvette has 5 more $0.05 than $0.10. If the value of her money is $1.30, how many coins of each kind does she have? Can you do it in one unknown?

  41. ineedyouubiebs
    • 2 years ago
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    Ughhhhhhh!!!

  42. ineedyouubiebs
    • 2 years ago
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    I honestly have no clue right ow I have more HW to do still

  43. e.mccormick
    • 2 years ago
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    As I said before, the dimes is the unknown. That means $0.10x must be part of this.

  44. ineedyouubiebs
    • 2 years ago
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    0.10(5)

  45. e.mccormick
    • 2 years ago
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    I already gave you the dimes part. 0.10x. You need the nickles part.

  46. e.mccormick
    • 2 years ago
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    How many nickles does it say she has? How would you write that if the number of dimes in the unknown?

  47. ineedyouubiebs
    • 2 years ago
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    $0.10x+$0.05y=$1.30

  48. e.mccormick
    • 2 years ago
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    The problem with that is that it has two variables. So you need to get y in terms of x using a second formula. If x is the number of dimes, what is y in terms of x?

  49. ineedyouubiebs
    • 2 years ago
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    The number of nickels

  50. e.mccormick
    • 2 years ago
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    That is y in terms of y. You need y in terms of x. Here is a huge clue. Take the first sentence. Replace dimes with x and nickles with y.

  51. ineedyouubiebs
    • 2 years ago
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    $0.05x+$0.10y=$1.50

  52. e.mccormick
    • 2 years ago
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    That is completely wrong. Stick with $0.10x+$0.05y=$1.30. It is correct. But you need a second equation. Yvette has 5 more nickels than dimes. Yvette has 5 more y than x. What is that line, and JUST that line, as a mathematical formula?

  53. ineedyouubiebs
    • 2 years ago
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    An equation ill say

  54. e.mccormick
    • 2 years ago
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    Let me go completely sideways for a second to show an example using similar language. If I have three pears and four apples, I have seven fruit. So: 3p+4a=7f. But what if I said it differently? I have one more apples than pears, and I have three pears. Then: ?a = 3p+1 The critical part is: a=p+1 Saying some more this than that means: that = this + some.

  55. ineedyouubiebs
    • 2 years ago
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    $0.05+0.10x=$1.30 ?

  56. e.mccormick
    • 2 years ago
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    The $1.30 is not involved in the second equation. Just x, y, and some number creating a relationship between x and y. x being the number of dimes, y being the number of nickles, and the line: Yvette has 5 more nickels than dimes. Telling you all you need to know about that relationship.

  57. e.mccormick
    • 2 years ago
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    They give you four numbers in this equation: Nickle, AKA:$0.05 Dime, AKA: $0.10 Total $1.30 and 5. You took it with two unknowns, number of nickles y and number of dimes x. OK. To do two equations, they must both use x and y. However, the goal is to break up the rest of the information. The first equation you did is fine. $0.10x+$0.05y=$1.30 It uses both x and y as required. It also uses $0.10, $0.05, and $1.30. Therefore your second equation can NOT use those or it is not generating new information. That leaves you with an equation involving: x, y, and 5. They tell you how to use 5 when they say: Yvette has 5 more nickels than dimes. So what is the equation?

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