Question

DOES ANYONE KNOW HOW TO DO THIS???

A store is having a sale on chocolate chips and walnuts. For 3 pounds of chocolate chips and 2 pounds of walnuts, the total cost is $13. For 8 pounds of chocolate chips and 4 pounds of walnuts, the total cost is $33. Find the cost for each pound of chocolate chips and each pound of walnuts.

Cost of each pound of chocolate chips: $___

Cost for each pound of Walnuts:$___

Answer 1

Cost of a pound of chocolate chips: $3.5

Cost of a pound of walnuts: $1.25

Explanation:

x - cost of a pound of chocolate chips

y - cost of a pound of walnuts

We create two equations based on the information we have:

3x+2y=13

8x+4y=33

The whole point of these problems os to get rid of x or y. In this question, we can do this by multiplying both sides of the first equation by 2, and then subtracting it from the second equation:

8x+4y=33

6x+4y=26

2x=7

x=3.5

Then we change x for 3.5 in the first equation:

3×3.5+2y=13

10.5+2y=13

2y=2.5

y=1.25

Hope this helps!