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Store A sells raspberries for 5.50 dollars per pint and blackberries for 3.00 dollars per pint. Store B sells raspberries for 6.50 dollars per pint and blackberries for 8.00 dollars per pint. A certain purchase of raspberries and blackberries would cost 37.00 dollars at store A or 66.00 dollars at store B. How many pints of blackberries are in this purchase?
A12 pints
B8 pints
C5 pints
D4 pints
Answer & Solution
Correct answer: C. 5 pints
Let r = pints raspberries, b = pints blackberries. Store A: 5.5r + 3b = 37. Store B: 6.5r + 8b = 66. Solve by elimination. Multiply A by 6.5: 35.75r + 19.5b = 240.5. Multiply B by 5.5: 35.75r + 44b = 363. Subtract: 24.5b = 122.5, so b = 5.
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