Dean scored a total of 252 points in 28 basketball games. Ruth played 10 fewer games than Dean. Her scoring average was 0.5 points per game higher than Dean's scoring average. How many points, in total, did Ruth score?
(A) 153
(B) 171
(C) 180
(D) 266
(E) 144
Dean scored a total of 252 points in 28 basketball games. Ruth played 10 fewer games than Dean. Her scoring average was 0.5 points per game higher than Dean's scoring average. How many points, in total, did Ruth score?
(A) 153
(B) 171
(C) 180
(D) 266
(E) 144

## Solution

If Dean scored 252 points in 28 games this implies that he averages $\frac{252}{28}$ or 9 points per game.

Ruth must then have averaged 9.5 points in each of the 18 games she played. In total she scored $9.5 \times 18$ or 171 points.

ANSWER: (B)