Problema Solution

a store is having a scale on walnuts and chocolate chips. for 2 pounds of walnuts and 5 pounds of chocolate chips, the total cost is $10. for 8 pounds of walnuts and 3 pounds of chocolate chips, the total cost is $23. find the cost for each pound of walnuts and each pound of chocolate chips.

Answer provided by our tutors

Let

x = the cost of walnuts per pound

y = the cost of chocolate chips per pound

2 pounds of walnuts and 5 pounds of chocolate chips, the total cost is $10:

2x + 5y = 10

8 pounds of walnuts and 3 pounds of chocolate chips, the total cost is $23:

8x + 3y = 23

We have the following system of equations:

2x + 5y = 10

8x + 3y = 23

........

Click here to see the step by step solution of the system of equations

........

x = $2.5

y = $1

The cost of walnuts is $2.5 per pound.

The cost of chocolate chips is $1 per pound.