Question

PLEASE i AM CRYING RIGHT NOW I HAVE HAD NO SLEEP AND I DONT KNOW THE ANSWER PLEASE

At the movie theatre, child admission is 5:40


and adult admission is 9:00


. On Sunday, 178


tickets were sold for a total sales of 1310.40


. How many child tickets were sold that day?

Answer 1

c = number of children tickets sold

a = number of adult tickets sold.

we know that 178 total tickets were sold, thus whatever "c" and "a" are, c + a = 178.

the price of a child ticket is $5.4, so the price for all "c" tickets must be 5.4c.

the price of a adult ticket is $9, so the price for all "a" tickets must be ac.

we also know the total sales for all tickets combined is $1310.4, so then 5.4c + 9a = 1310.4.

`\bf \begin{cases} c+a=178\implies \boxed{c}=178-c\\ 5.4c+9a=1310.4\\[-0.5em] \hrulefill\\ 5.4c+9\left( \boxed{178-c} \right)=1310.4 \end{cases} \\\\\\ 5.4c+1602-9c=1310.4\implies -3.6c+1602=1310.4\implies -3.6c=-291.6 \\\\\\ c=\cfrac{-291.6}{3.6}\implies c=81`