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?
To solve this problem, we need to determine the number of quarts of cranberry juice Terrence should mix with 4 quarts of apple juice to make the cranberry-apple juice.
Let's first define the number of quarts of cranberry juice as 'q'. The cost of cranberry juice is given as $6.30 per quart, and the cost of apple juice is given as $3.60 per quart. Terrence wants to sell the juice at cost for $4.50 per quart.
So, for the cranberry juice, the cost equation is:
Cost of cranberry juice = $6.30 * q
For the apple juice, the cost equation is:
Cost of apple juice = $3.60 * 4
Since Terrence wants to mix the two juices to make cranberry-apple juice and sell it at cost for $4.50 per quart, the total cost equation is:
Total cost = Cost of cranberry juice + Cost of apple juice
Equating this total cost to the cost per quart, we have the equation:
$4.50 * (q + 4) = $6.30 * q + $3.60 * 4
Thus, the equation that represents the situation is:
$4.50 * (q + 4) = $6.30 * q + $3.60 * 4