1995 AJHSME Problems/Problem 16

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 744. Assuming each student received the same amount for a day's work, how much did the students from Balboa school earn altogether?

$\text{(A)}\ 9.00\text{ dollars} \qquad \text{(B)}\ 48.38\text{ dollars} \qquad \text{(C)}\ 180.00\text{ dollars} \qquad \text{(D)}\ 193.50\text{ dollars} \qquad \text{(E)}\ 258.00\text{ dollars}$

Solution

Altogether, the summer project totaled $(7)(3)+(4)(5)+(5)(9)=21+20+45=86$ days of work for a single student. This equals $744/86 = 9$ dollars per day per student rounded to the nearest dollar (744/86 ≈ 8.65). The students from Balboa school earned $9(4)(5)=\boxed{\text{(C)}\ 180.00\ \text{dollars}}$ approximately.

1995 AJHSME (Problems • Answer Key • Resources)
Preceded by Problem 15	Followed by Problem 17
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25
All AJHSME/AMC 8 Problems and Solutions

Page

Toolbox

Search

1995 AJHSME Problems/Problem 16

Problem

Solution

See Also