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 <dollar><dollar>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 $9(4)(5)=\boxed{\text{(C)}\ 180.00\ \text{dollars}}$ .

1995 AJHSME (Problems • Answer Key • Resources)
Preceded by Problem 15	Followed by Problem 17
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1995 AJHSME Problems/Problem 16

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