Answered

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 :

rspill6

Answer:   $1.25/lb for Jellybeans

                 $3.25/lb for Almonds

Step-by-step 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

=====

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

 

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