Question

You bought 3 pounds of strawberries and 1 pound of blueberries for $8.40 to make pies for the summer festival. Your friend helped and bought 2 pounds of strawberries and 2 pounds of blueberries for $10.08. How much did a pound of blueberries cost? Let the cost of each pound of strawberries =x and the cost of each pound of blueberries =y .

Answer 1

Blueberries cost $3.36 per pound

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Work Shown

x = cost of 1 pound of strawberries

y = cost of 1 pound of blueberries

3x = cost of 3 pounds of strawberries

3x+y = cost of 3 pounds of strawberries and 1 pound of blueberries

3x+y = 8.40

y = 8.40 - 3x

2x+2y = 10.08

2x+2(8.40-3x) = 10.08

2x+16.80-6x = 10.08

-4x+16.80 = 10.08

-4x = 10.08-16.80

-4x = -6.72

x = -6.72/(-4)

x = 1.68 dollars is the cost of one pound of strawberries

y = 8.40 - 3x

y = 8.40 - 3*1.68

y = 3.36 dollars is the cost of one pound of blueberries

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Check:

3*1.68+1*3.36 = 8.40

2*1.68+2*3.36 = 10.08

The answer is confirmed.