SOLUTION: Six different picture packages are available for school portaits at school. The cost of each is the sum of the costs of the individual pictures in the package. Each picture packa

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Question 851068: Six different picture packages are available for school portaits at school.
The cost of each is the sum of the costs of the individual pictures in the package.
Each picture package and its cost are given in the following table:

Picture Package Cost
one 8x10, four 5x7 $38.00
eight 3x5, ten 2x3 $70.00
six exchange size, eighteen photo stickers $24.00
two 8x10, two 5x7 $40.00
twelve 3x5, four 2x3 $72.00
nine exchange size, nine phot stickers $27.00

Set up and solve a system of equations to find the cost of an 8x10 picture and a 5x7 picture.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The cost of each is the sum of the costs of the individual pictures in the package.
Each picture package and its cost are given in the following table:
Picture Package Cost
one 8x10, four 5x7 $38.00
eight 3x5, ten 2x3 $70.00
six exchange size, eighteen photo stickers $24.00
two 8x10, two 5x7 $40.00
twelve 3x5, four 2x3 $72.00
nine exchange size, nine phot stickers $27.00
Set up and solve a system of equations to find the cost of an 8x10 picture and a 5x7 picture.
Equations:
e + 4f = 38
2e + 2f = 40
-------------------
Modify for elimination:
e + 4f = 38
e + f = 20
-------
Subtract and solve for "f":
3f = 18
f + $6.00 (cost on one 5x7)
---
solve for "e":
e + f = 20
e + 6 = 20
e = $14.00 (cost of one 8x10)
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Cheers,
Stan H.
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