Question

At the city Museum child admission is $5.30 and adult admission is $9.30 on Sunday 146 tickets were sold for a total sales of $1145.80 how many child tickets were sold that day

Answer 1

The number of child tickets is 53

And adult tickets sold out is 93

Explanation:

Let the child tickets be x

And the adult tickets be y

x+y = 146 - - - - - - - 1

x= 146-y

5.3x + 9.3y= 1145.80 - - - - - 2

We can substitute x= 146-y in equation 2

5.3(146-y) + 9.3y= 1145.80 - -- 2

773.8 - 5.3y +9.3y = 1145.80

773.8+4y= 1145.80

4y= 1145.80-773.8

4y= 372

y= 372/4

y= 93

We can now substitute y= 93 in equation 1 to find x

x+ 93= 146

x= 146-93

x= 53

Hence

The number of child tickets is 53

And adult tickets sold out is 93