AMC10 2014 A

AMC10 2014 A · Q3

AMC10 2014 A · Q3. It mainly tests Fractions, Arithmetic misc.

Bridget bakes 48 loaves of bread for her bakery. She sells half of them in the morning for \$2.50 each. In the afternoon she sells two thirds of what she has left, and because they are not fresh, she charges only half price. In the late afternoon she sells the remaining loaves at a dollar each. Each loaf costs \$0.75 for her to make. In dollars, what is her profit for the day?

Bridget 为她的面包店烤了 48 个面包。她早上卖出一半，每块 2.50 美元。下午她卖掉剩下面包的三分之二，因为不新鲜，她只收半价。傍晚她以每块 1 美元的价格卖掉剩下的面包。每个面包的成本是 0.75 美元。那天她的利润是多少美元？

(A) 24 24

(B) 36 36

(D) 48 48

(E) 52 52

Answer

Correct choice: (E)

正确答案：（E）

Solution

In the morning, Bridget sells half of her loaves of bread for $\frac{1}{2} \cdot 48 \cdot \$2.50 = \$60$. In the afternoon, she sells $\frac{2}{3} \cdot 24 = 16$ loaves of bread for $16 \cdot \frac{1}{2} \cdot \$2.50 = \$20$. Finally, she sells the remaining 8 loaves of bread for \$8. Her total cost is $48 \cdot \$0.75 = \$36$. Her profit is $60 + 20 + 8 - 36 = 52$ dollars.

早上，Bridget 卖掉一半面包：$\frac{1}{2} \cdot 48 \cdot \$2.50 = \$60$。下午，她卖掉 $\frac{2}{3} \cdot 24 = 16$ 个面包，每块 $\frac{1}{2} \cdot \$2.50$，共 $\$$20。最终，剩下 8 个面包卖 $\$$8。总成本 $48 \cdot \$0.75 = \$36$。利润为 $60 + 20 + 8 - 36 = 52$ 美元。

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