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12 December, 08:48

Cranberry juice costs $6.30 per quart and apple juice costs $3.60 per quart. Terrence wants to know how many quarts q of cranberry juice he should mix with 4 quarts of apple juice to make cranberry-apple juice. He also wants to sell the juice at cost for $4.50 per quart. Which equation below represents the situation?

A. 3.60 (q - 4) + 25.20 = 4.50q

B. 3.60q + 25.20 = 4.50 (q + 4)

C. 6.30 (q - 4) + 14.40 = 4.50q

D. 6.30q + 14.40 = 4.50 (q + 4)

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Answers (1)
  1. 12 December, 09:09
    0
    We know that:

    Cost (Cranberry Juice) : 6.3 per quart

    Cost (Apple Juice) : 3.6 per quart

    Quantity (Apple Juice) : 4 quarts

    Quantity (Cranberry Juice) : q quarts

    Further we know that Terrence wants the cost of the juice to be 4.5 per quart

    Hence Total Cost = Cost per quart * Total Number of quarts = (Cost per quart for Apple Juice * Total Number of Apple Juice Quarts) + (Cost per quart for Cranberry Juice * Total Number of Cranberry Juice Quarts)

    ⇒ Total Cost = 4.5 * (q+4) = 6.3 * q + 3.6 * 4

    ⇒ 4.5 (q+4) = 6.3q + 14.4, which matches with option D

    Hence, the correct option is D
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