Students at a local middle school are selling candy bars for a fund-raiser. The candy bars come packaged in cases of 60 bars, and the school makes a $0.75 profit from each candy bar sold. How many cases of candy bars need to be sold for the school to make a profit of $900?
Rationale: To determine how many cases of candy bars need to be sold for a $900 profit, first calculate the total profit per case. Each case contains 60 candy bars, and with a profit of $0.75 per bar, the profit per case is \(60 \times 0.75 = 45\) dollars. To find the number of cases needed for a $900 profit, divide the total desired profit by the profit per case: \(900 \div 45 = 20\).
Option A (8) suggests too few cases, resulting in only $360 profit. Option B (12) would yield $540, still not reaching $900. Option D (40) would produce $1,800, exceeding the target. Thus, 20 cases are required to achieve the $900 goal.
