AMC12 2006 A

AMC12 2006 A · Q5

AMC12 2006 A · Q5. It mainly tests Fractions, Mixture / concentration.

Doug and Dave shared a pizza with $8$ equally-sized slices. Doug wanted a plain pizza, but Dave wanted anchovies on half the pizza. The cost of a plain pizza was $8$ dollars, and there was an additional cost of $2$ dollars for putting anchovies on one half. Dave ate all the slices of anchovy pizza and one plain slice. Doug ate the remainder. Each paid for what he had eaten. How many more dollars did Dave pay than Doug?

Doug和Dave分享一个有$8$等分的披萨。Doug想要原味披萨，但Dave想要半个披萨加凤尾鱼。原味披萨价格为$8$美元，在一半披萨上加凤尾鱼需额外$2$美元。Dave吃了所有加凤尾鱼的披萨片以及一片原味披萨片，Doug吃了剩下的。两人各自支付自己吃掉的部分。Dave比Doug多付了多少美元？

(A) 1 1

(B) 2 2

(D) 4 4

(E) 5 5

Answer

Correct choice: (D)

正确答案：（D）

Solution

Dave and Doug paid $8+2=10$ dollars in total. Doug paid for three slices of plain pizza, which cost $\frac{3}{8}\cdot 8=3$. Dave paid $10-3=7$ dollars. Dave paid $7-3=\boxed{\textbf{(D) }4}$ more dollars than Doug.

Dave和Doug总共支付$8+2=10$美元。Doug为三片原味披萨付费，其费用为$\frac{3}{8}\cdot 8=3$。Dave支付$10-3=7$美元。Dave比Doug多付$7-3=\boxed{\textbf{(D) }4}$美元。

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