College Placement Test

In a certain school, there were 5 more seniors than juniors. In one marking period, 12 percent of the seniors and 10 percent of the juniors were on the honor roll. If the total number of juniors and seniors on the honor roll was 17, approximately how many seniors were there in the school that marking period?

A. 80 B. 75 C. 155 D. 8 E. There is not enough information

A. 80 Explanation: Set up an equation. 12% is .12 and 10% is .10

Distribution Property of Multiplication Combine Like Terms… Subtract 0.6 from each side of the equation Divide each side of the equation by .22

Juniors = n Seniors = n + 5

.

10

n

 .

12 (

n

 5 )  17 .

10

n

 .

12

n

 0 .

6  0 .

22

n

 0 .

6  17 0 .

22

n n

  16 75 .

4 17

Substitute 75 for n and

Seniors = n + 5

solve for seniors

Seniors



75



5



80