Question

A store is having a sale on almonds and jellybeans for 5 pounds of almonds and 3 pounds of jellybeans the total cost is $20 for 2 pounds of almonds and 6 pounds of jellybeans the total cost is $14 find the cost for each pound of almonds and each pound of jellybeans

Answer 1

Answer: $1.25/lb for Jellybeans

$3.25/lb for Almonds

Explanation:

Let J = the $/pound for Jellybeans

Let A = the $/pound for Almonds

We know that

1) 5A + 3J = $20 and,

2) 2A + 6J = $14. Now,

3) 2A = 14-6J [Rearrange (2)]

4) A = 7-3J {Divide by 2] Now we have a definition of A that we can use in the first equation (1).

5) 5A + 3J = $20

5(7-3J) + 3J = $20

35 -15J +3J = $20

-12J = -15

J = $1.25/lb for Jellybeans

6) Use this in (2) and solve for A

2A = 14-6J

2A = 14-6(1.25)

2A = 14 - 7.5

A = $3.25

$3.25/lb for Almonds

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Check:

1) 5A + 3J = $20 ?

5(3.25) + 3*(1.25) = $20 : Checks

2) 2A + 6J = $14

2($3.25) + 6($1.25) = $14 : Checks