Problem:
Last summer 100 students attended basketball camp. Of those attending, 52 were boys and 48 were girls. Also, 40 students were from Jones Middle School and 60 were from Clay Middle School. Twenty oí the girls were from Jones Middle School. How many of the boys were from Clay Middle School?
Answer Choices:
A. 20
B. 32
C. 40
D. 48
E. 52
Solution:
Since the total number of girls was 48 and there were 20 girls from Jones, it follows that there were 48−20=28 girls from Clay. The total number of students from Clay was 60. Thus, there were 60−28=32 boys from Clay.
OR
Complete a table starting with the given information:
JMS:CMS:Total:B2052G406048Tot6060100B2052G406048Tot6060100B203252G4048Tot6060100
There were 32 boys from Clay Middle School.
Answer: B.
The problems on this page are the property of the MAA's American Mathematics Competitions