At the city museum, child admission is 6.50 and adult admission is 9.60. On Friday, 134 tickets were sold for a total sales of 1128.30. How many child tickets were sold that day?

The answer is that there there were 51 child tickets sold that day.

Step-by-step explanation:

Let c = the amount of child tickets and a = the amount of adult tickets.

c + a = 134 tickets

Solve for a:

a = 134 - c

The amount of child tickets times $6.50 and the amount of adult tickets times $960 is equal to the total dollar amount of $1,128.30. Set up the equation:

6.50c + 9.60a = 1128.30

Substitute:

6.50c + 9.60 (134 - c) = 1128.30

6.50c + 1286.40 - 9.60c = 1128.30

-3.10c = - 158.1

c = - 158.1 / - 3.10 = 51 child tickets.

Solve for a:

a = 134 - c

a = 134 - 51 = 83

Proof:

6.50c + 9.60a = 1128.30

6.50 (51) + 9.60 (83) = 1128.30

331.50 + 796.80 = 1128.30

1128.30 = 1128.30