Problem:
Students from three middle schools worked on a summer project.
Seven students from Allen School worked for 3 days.
Four students from Balboa School worked for 5 days.
Five students from Carver School worked for 9 days.
The total amount paid for the students' work was $774. Assuming each student received the same amount for a day's work, how much did the students from Balboa School earn altogether?
Answer Choices:
A. $9.00
B. $48.38
C. $180.00
D. $193.50
E. $258.00
Solution:
Tabulate the data:
Allen School: Balboa School: Carver School: Total: 7 students for 3 days =21 worker days4 students for 5 days =20 worker days5 students for 9 days =45 worker days86 worker days
Hence, $774÷86=$9 per worker day. Thus the students from Balboa School earned $9 per worker day for 20 worker days, for a total of $180.
Answer: C.
The problems on this page are the property of the MAA's American Mathematics Competitions