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)
The cost of cranberry juice is $6.30 per quart and the cost of apple juice is $3.60 per quart. To find the equation that represents the situation, we need to consider the quantities of cranberry and apple juice being used, as well as the cost.
Let's assume that Terrence wants to mix q quarts of cranberry juice with 4 quarts of apple juice to make cranberry-apple juice.
The cost of cranberry juice is $6.30 per quart, so the cost of q quarts of cranberry juice is 6.30q.
The cost of apple juice is $3.60 per quart, so the cost of 4 quarts of apple juice is 3.60 * 4 = 14.40.
Terrence wants to sell the mixture at cost for $4.50 per quart. Since he wants to mix q quarts of cranberry juice with 4 quarts of apple juice, the total amount of juice will be q + 4 quarts.
Therefore, the equation that represents the situation is:
6.30q + 14.40 = 4.50(q + 4)
So, the correct option is D. 6.30q + 14.40 = 4.50(q + 4)