## 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 pound

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.

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2021-07-20T04:23:03+00:00
2021-07-20T04:23:03+00:00 1 Answers
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## Answers ( )

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

Step-by-step 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.