SOLUTION: the school cafeteria surveyed the student body and discovered that 13/15 of the students listed pizza as their favorite lunch. There was a total of 78 students that liked pizza bes

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: the school cafeteria surveyed the student body and discovered that 13/15 of the students listed pizza as their favorite lunch. There was a total of 78 students that liked pizza bes      Log On


   

Question 68725This question is from textbook
: the school cafeteria surveyed the student body and discovered that 13/15 of the students listed pizza as their favorite lunch. There was a total of 78 students that liked pizza best. how many students were in the student body? This question is from textbook

Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!
What is asked in the problem?
How many students were in the student body?


Given:
13/15 of the student body like pizza as their favorite lunch.
78 of the students liked pizza best.


13/15 of the student body is 78.


Let x = the total number of the student body.

Translate the sentence to mathematical equation.
%2813%2F15%29%2Ax+=+78

%2813%2F15%29x+=+78 >>>>> multiply the reciprocal of 13/15

%2815%2F13%29%2813%2F15%29x+=+78%2815%2F13%29

highlight+%28x+=+90%29 -----> There are 90 students in the student body.

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