At the movie theatre, child admission is$5.40 and adult admission is $9.90 . On Tuesday, 131 tickets were sold for a total sales of 954.90 . How many child tickets were sold that day?

Question

At the movie theatre, child admission is$5.40  and adult admission is $9.90  . On Tuesday, 131 tickets were sold for a total sales of 954.90 . How many child tickets were sold that day?

directrix · Answer

Let C represent the number of children tickets that were puchased
Let A represent the number of adult tickets that were purchased.

So,  (1)     C + A = 131

The revenue from child tickets is 5.4*C

The revenue from adult tickets is 9.9 * A

So,  (2)   5.4*C + 9.9*A = 954.9

directrix · Answer

The task is to solve these two simultaneous equations

(1)            C +      A =  131

(2)     5.4*C + 9.9*A = 954.9
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@clairelynn93

directrix · Answer

C + A = 131
C = 131 - A

5.4(131 - A) + 9.9*A = 954.9
707.4 - 5.4 A + 9.9 A = 954.9

Solve the above equation for A to get the number of adults.