1995 AJHSME Problems/Problem 16

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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>$744.  Assuming each student received the same amount for a day's work, how much did the students from Balboa school earn altogether?$\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$9(4)(5)=\boxed{\text{(C)}\ 180.00\ \text{dollars}}$.

See Also

1995 AJHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 15
Followed by
Problem 17
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All AJHSME/AMC 8 Problems and Solutions
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