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anonymous
 one year ago
A store is having a sale on jelly beans and almonds. For 6 pounds of jelly beans and 2 pounds of almonds, the total cost is $20. For 3 pounds of jelly beans and 5 pounds of almonds, the total cost is $23. Find the cost for each pound of jelly beans and each pound of almonds.
Costforeachpoundofjellybeans:$
Costforeachpoundofalmonds:$
anonymous
 one year ago
A store is having a sale on jelly beans and almonds. For 6 pounds of jelly beans and 2 pounds of almonds, the total cost is $20. For 3 pounds of jelly beans and 5 pounds of almonds, the total cost is $23. Find the cost for each pound of jelly beans and each pound of almonds. Costforeachpoundofjellybeans:$ Costforeachpoundofalmonds:$

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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1This problem can be solved with a system of equations. Are you learning how to solve systems of equations?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0been a while cant quite remember how to do it

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1First, we need to write the two equations. Then, we'll solve them.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.06x+2y=20 3x+5y=23 is that correct

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1We need to choose two variables. Since most of the time we are used to using x and y as variables, let's use x and y. Let x = the cost per pound of jelly beans. Let y = the cost per pound of almonds.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1The first case we have is "For 6 pounds of jelly beans and 2 pounds of almonds, the total cost is $20." If jelly beans cost x dollars per pound, and you buy 6 pounds, how much does it cost?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.06x+2y=20 3x+5y=23 is that correct

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Yes, you are correct. Now you have the two equations for our system of equations. Now we need to solve the system of equations.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1We can use the substitution method. First, take the first equation you wrote, and divide the entire equation by 2. What do you get?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.16x + 2y = 20 Divide the entire equation by 2 to get: 3x + y = 10 Now we solve the equation for y: y = 10  3x Now we do the substitution step. Since y = 10  3x, where we see y in the second equation, we substitute y with 10  3x 3x + 5y = 23 3x + 5(10  3x) = 23 Simplify the parentheses with the distributive property: 3x + 50  15x = 23 Collect like terms on the left side: 12x + 50 = 23 Subtract 50 from both sides: 12x = 27 Divide both sides by 12: x = 2.25 Now that we know x, substitute x in the first original equation to find y. 6x + 2y = 20 6(2.25) + 2y = 20 13.5 + 2y = 20 2y = 6.5 y = 3.25 The price of jelly beans is $2.25 per pound, and the price of almonds is $3.25 per pound

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1I have to go. Take your time to go over the solution. If you have questions, just ask, and I'll try to answer when I get back.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ty i am looking iver to make sure i got it.. i have 5 like this

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thanks for taking the time to explain this to me.. Your help got me a 100 on my final exam

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Wow. That's great. Congratulations.
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