2006 AMC 10A Problem 5

Question

Doug and Dave shared a pizza with

8

equally-sized slices. Doug wanted a plain pizza, but Dave wanted anchovies on half of the pizza. The cost of a plain pizza was

\$8,

and there was an additional cost of

\$2

for putting anchovies on one half. Dave ate all the slices of anchovy pizza and one plain slice. Doug ate the remainder. Each then paid for what he had eaten. How many more dollars did Dave pay than Doug?

1

2

3

4

5

Answer: D

Concepts:money fraction

Difficulty rating: 1120

Small hint:

A plain pizza costs

\$8

for

8

slices, so each slice is

\$1

Big hint:

Dave also pays the full

\$2

for the anchovies on top of his five slices

Solution:

Each of the

8

slices costs

\$1.

Dave ate

5

slices and also pays the extra

\$2

for the anchovies, for a total of

5 + 2 = 7

dollars.

Doug ate

3

slices, paying

3

dollars. So Dave paid

7 - 3 = 4

dollars more.

Thus, the correct answer is D.