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Difference between revisions of "1995 AJHSME Problems/Problem 16"

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*Five students from Carver school worked for <math>9</math> days.
 
*Five students from Carver school worked for <math>9</math> days.
  
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The total amount paid for the students' work was <dollar><math>744.  Assuming each student received the same amount for a day's work, how much did the students from Balboa school earn altogether?
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The total amount paid for the students' work was 744.  Assuming each student received the same amount for a day's work, how much did the students from Balboa school earn altogether?
  
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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>
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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>
  
 
==Solution==
 
==Solution==
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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}}$.
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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>.
  
 
==See Also==
 
==See Also==
 
{{AJHSME box|year=1995|num-b=15|num-a=17}}
 
{{AJHSME box|year=1995|num-b=15|num-a=17}}

Latest revision as of 09:15, 19 August 2019

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 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 (Problems • Answer Key • Resources)
Preceded by
Problem 15 		Followed by
Problem 17
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25
All AJHSME/AMC 8 Problems and Solutions
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