Question

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)

Answer 1

Answer:

The answer is D! (:

Answer 2

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