Question

A store is having a sale on jelly beans and almonds. For 5 pounds of jelly beans and 3 pounds of almonds, the total cost is $13. For 2 pounds of jelly beans and 6 pounds of almonds, the total cost is $16. Find the cost for each pound of jelly beans and each pound of almonds. ​

Answer 1

The cost for each pound of jelly beans and each pound of almonds is $1.25 and $2.25 respectively.

Explanation:

Let the cost for each pound of jelly beans and each pound of almonds be x and y respectively.

ATQ,

For 5 pounds of jelly beans and 3 pounds of almonds, the total cost is $13.

5x+3y = 13 ...(1)

For 2 pounds of jelly beans and 6 pounds of almonds, the total cost is $16.

2x+6y = 16

x + 3y = 8 ....(2)

Subtract equation (2) from (1)

5x+3y-(x + 3y)= 13-8

4x = 5

x = 5/4

x = $1.25

Put the value of x in equation (2) as follows :

1.25 + 3y = 8

3y = 8-1.25

y =$2.25

Hence, the cost for each pound of jelly beans and each pound of almonds is $1.25 and $2.25 respectively.