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ccchristian1

  • one year ago

Devon and his friends bought strawberry wafers for $3 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $30 to buy a total of 22 packets of wafers of the two varieties.

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  1. ccchristian1
    • one year ago
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    Part A: Write a system of equations that can be solved to find the number of packets of strawberry wafers and the number of packets of chocolate wafers that Devon and his friends bought at the carnival. Define the variables used in the equations. (5 points) Part B: How many packets of chocolate wafers and strawberry wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)

  2. ccchristian1
    • one year ago
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    @UsukiDoll

  3. anonymous
    • one year ago
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    hello

  4. ccchristian1
    • one year ago
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    yeah?

  5. anonymous
    • one year ago
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    lets make strawberry x and chocolate y

  6. UsukiDoll
    • one year ago
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    oh gawd I hate these word problems sorry ^^'

  7. ccchristian1
    • one year ago
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    @UsukiDoll you got time ? lol

  8. ccchristian1
    • one year ago
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    oh alright its okay lol @UsukiDoll

  9. anonymous
    • one year ago
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    strawberry is 3 dollars so 3x chocolate is 1 dollar so 1y

  10. anonymous
    • one year ago
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    3x+y=30

  11. anonymous
    • one year ago
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    That's the first equation

  12. ccchristian1
    • one year ago
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    thats for part a?^

  13. anonymous
    • one year ago
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    the second equation is x+y=22

  14. anonymous
    • one year ago
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    both equations are part of the 'system of equations'

  15. anonymous
    • one year ago
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    For part B we need to solve for x and y.

  16. anonymous
    • one year ago
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    are you familiar with substitution?

  17. ccchristian1
    • one year ago
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    not really

  18. anonymous
    • one year ago
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    ok, so we have our two equations 3x+y=30 and x+y=22

  19. anonymous
    • one year ago
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    isolate x or y in one of the equations and then plug it into the other equation

  20. anonymous
    • one year ago
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    so isolate x in the second equation x+y=22

  21. ccchristian1
    • one year ago
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    3x+y=22?

  22. anonymous
    • one year ago
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    nope, we're just looking at x+y=22 right now

  23. anonymous
    • one year ago
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    so get x by itself

  24. ccchristian1
    • one year ago
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    so what will it be?

  25. anonymous
    • one year ago
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    we have to subtract y from both sides

  26. anonymous
    • one year ago
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    this gives x=22-y

  27. anonymous
    • one year ago
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    now we take 22-y and replace that with x in the other equation

  28. anonymous
    • one year ago
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    3(22-y)+y=30

  29. anonymous
    • one year ago
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    solve for y

  30. ccchristian1
    • one year ago
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    this will tell us how much packets did they buy

  31. anonymous
    • one year ago
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    ya

  32. ccchristian1
    • one year ago
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    then whats next ?

  33. ccchristian1
    • one year ago
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    after that

  34. anonymous
    • one year ago
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    y will tell us how many chocolate was bought. what did you get for y

  35. ccchristian1
    • one year ago
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    33?

  36. anonymous
    • one year ago
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    nope, you have to solve the equation

  37. anonymous
    • one year ago
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    first foil out 3(22-y)

  38. ccchristian1
    • one year ago
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    19?

  39. anonymous
    • one year ago
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    where are you getting these numbers?

  40. ccchristian1
    • one year ago
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    18?

  41. anonymous
    • one year ago
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    that's right, good job

  42. ccchristian1
    • one year ago
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    yeeeeeeee les get it

  43. anonymous
    • one year ago
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    so we know there are 18 chocolate wafers. how many strawberry are there?

  44. anonymous
    • one year ago
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    substitute it back into this equation x+y=22

  45. ccchristian1
    • one year ago
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    to what number ??

  46. anonymous
    • one year ago
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    well we just found that y was 18

  47. ccchristian1
    • one year ago
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    soooo......

  48. ccchristian1
    • one year ago
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    so 22?

  49. anonymous
    • one year ago
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    x+y=22 If y is 18, what is x

  50. ccchristian1
    • one year ago
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    22?

  51. anonymous
    • one year ago
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    x+(18)=22

  52. anonymous
    • one year ago
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    solve for x

  53. ccchristian1
    • one year ago
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    4?

  54. anonymous
    • one year ago
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    correct so there are 4 strawberry and 18 chocolate

  55. anonymous
    • one year ago
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    4 x 3 + 18 x 1 = 30 18 + 4 = 22

  56. anonymous
    • one year ago
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    This method is called the substitution method where you substitute one equation in for another

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