Question

at the city museum, child admission is $6.20 and adult admission is $9.60. on Thursday, 145 tickets were sold for a total sales of $1109.80 how many child tickets were sold that day?​

Answer 1

Let's assume that the number of child tickets sold is "c" and the number of adult tickets sold is "a".

We can set up a system of two equations to represent the given information:

c + a = 145 (equation 1, the total number of tickets sold is 145)

6.2c + 9.6a = 1109.8 (equation 2, the total sales is $1109.80)

We can use equation 1 to solve for "a" in terms of "c":

a = 145 - c

Substitute this expression for "a" into equation 2 and solve for "c":

6.2c + 9.6(145 - c) = 1109.8

Simplifying the equation:

6.2c + 1392 - 9.6c = 1109.8

-3.4c = -282.2

c = 83

Therefore, 83 child tickets were sold on Thursday. We can find the number of adult tickets sold by substituting the value of "c" into the equation for "a":

a = 145 - c

a = 145 - 83

a = 62

Therefore, 62 adult tickets were sold on Thursday.