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# 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. The students from Balboa school earned $9(4)(5)=\boxed{\text{(C)}\ 180.00\ \text{dollars}}$.