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 36,744$. Assuming each student received the same amount for a day's work, how much did the students from Balboa school earn altogether?

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

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1995 AJHSME Problems/Problem 16

Problem