https://artofproblemsolving.com/wiki/api.php?action=feedcontributions&user=Roboticsmathboy&feedformat=atom AoPS Wiki - User contributions [en] 2022-05-21T05:59:29Z User contributions MediaWiki 1.31.1 https://artofproblemsolving.com/wiki/index.php?title=1995_AJHSME_Problems/Problem_16&diff=97257 1995 AJHSME Problems/Problem 16 2018-08-15T22:40:47Z <p>Roboticsmathboy: Undo revision 88260 by Tiblis (talk) because text was screwed up</p> <hr /> <div>==Problem==<br /> <br /> Students from three middle schools worked on a summer project.<br /> <br /> *Seven students from Allen school worked for &lt;math&gt;3&lt;/math&gt; days.<br /> *Four students from Balboa school worked for &lt;math&gt;5&lt;/math&gt; days.<br /> *Five students from Carver school worked for &lt;math&gt;9&lt;/math&gt; days.<br /> <br /> The total amount paid for the students' work was &lt;dollar&gt;&lt;dollar&gt;744. Assuming each student received the same amount for a day's work, how much did the students from Balboa school earn altogether?<br /> <br /> &lt;math&gt;\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}&lt;/math&gt;<br /> <br /> ==Solution==<br /> Altogether, the summer project totaled &lt;math&gt;(7)(3)+(4)(5)+(5)(9)=21+20+45=86&lt;/math&gt; days of work for a single student. This equals &lt;math&gt;744/86=9&lt;/math&gt; dollars per day per student. The students from Balboa school earned &lt;math&gt;9(4)(5)=\boxed{\text{(C)}\ 180.00\ \text{dollars}}&lt;/math&gt;.<br /> <br /> ==See Also==<br /> {{AJHSME box|year=1995|num-b=15|num-a=17}}</div> Roboticsmathboy