Question 68725
What is asked in the problem?
How many students were in the student body?
<br>
Given:
13/15 of the student body like pizza as their favorite lunch.
78 of the students liked pizza best.
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13/15 of the student body is 78.
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Let x = the total number of the student body.
<br>Translate the sentence to mathematical equation.
{{{(13/15)*x = 78}}}
<br>{{{(13/15)x = 78}}} >>>>> multiply the reciprocal of 13/15
<br>{{{(15/13)(13/15)x = 78(15/13)}}}
<br>{{{highlight (x = 90)}}}  -----> There are 90 students in the student body.

<br>Checking:
13/15 of 90 = 78
(13/15)90 = 78
78 = 78 ------------->>True