SOLUTION: a small theater sold 72 tickets for a play. The ratio a adult tickets to child tickets was 4:1. the ratio of adult tickets to senior tickets was 4:3. . Draw a diagram or make a ta

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: a small theater sold 72 tickets for a play. The ratio a adult tickets to child tickets was 4:1. the ratio of adult tickets to senior tickets was 4:3. . Draw a diagram or make a ta      Log On


   



Question 1142270: a small theater sold 72 tickets for a play. The ratio a adult tickets to child tickets was 4:1. the ratio of adult tickets to senior tickets was 4:3. .
Draw a diagram or make a table to represent the types of tickets sold.

Answer by ikleyn(52797) About Me  (Show Source):
You can put this solution on YOUR website!
.

The problem gives 1 child ticket for every 4 adult ticket.


It also gives 3 senior tickets for every 4 adult tickets.


Thus, for every 4 adult tickets the problem gives 1 child ticket and 3 seniors tickets.


So, we have some number of groups, each containing 4 adult, 1 child and 3 senior tickets.


In all, each such group has 4+1+3 = 8 tickets; hence, the number of groups is 72/8=9.


From this point, there is one step to get the answer.


ANSWER.  There were 9 child tickets, 3*9 = 27 senior tickets and 4*9 = 36 adult tickets. 

Solved.

The method which I used to solve the problem, is a "grouping method".

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I am sorry . . .

I didn't make a diagram or a table as you asked.

I simply solved the problem from the beginning to the end in a way on how it should be presented to a 2-nd or 3-rd or 4-th grade students.