https://artofproblemsolving.com/wiki/api.php?action=feedcontributions&user=Roboticsmathboy&feedformat=atomAoPS Wiki - User contributions [en]2024-03-28T10:22:41ZUser contributionsMediaWiki 1.31.1https://artofproblemsolving.com/wiki/index.php?title=1995_AJHSME_Problems/Problem_16&diff=972571995 AJHSME Problems/Problem 162018-08-15T22:40:47Z<p>Roboticsmathboy: Undo revision 88260 by Tiblis (talk) because text was screwed up</p>
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<div>==Problem==<br />
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Students from three middle schools worked on a summer project.<br />
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*Seven students from Allen school worked for <math>3</math> days.<br />
*Four students from Balboa school worked for <math>5</math> days.<br />
*Five students from Carver school worked for <math>9</math> days.<br />
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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?<br />
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<math>\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}</math><br />
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==Solution==<br />
Altogether, the summer project totaled <math>(7)(3)+(4)(5)+(5)(9)=21+20+45=86</math> days of work for a single student. This equals <math>744/86=9</math> dollars per day per student. The students from Balboa school earned <math>9(4)(5)=\boxed{\text{(C)}\ 180.00\ \text{dollars}}</math>.<br />
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==See Also==<br />
{{AJHSME box|year=1995|num-b=15|num-a=17}}</div>Roboticsmathboy