At the city museum child admission is 660 and adult admissio

At the city museum, child admission is $6.60 and adult admission is $9.70. On Monday, 127 tickets were sold for a total sales of $1052.10. How many child tickets were sold that day?

Solution

Let, X child tickets be sold on monday.

Then, (127 - X) adult tickets were sold on that day.

Given that child admission is $6.60 and adult admission is $9.70 and total sales on that day was $1052.10.

Therefore, by given conditions,

(6.60 * X) + [9.70 * (127 - X)] = 1052.10

i.e., (6.60 * X) + (9.70 * 127) - (9.70 * X) = 1052.10

i.e., [(6.60 - 9.70) * X] + 1231.90 = 1052.10

i.e., (-3.10) * X = 1052.10 - 1231.90

i.e., X = (-179.80) / (-3.10)

i.e., X = 58

Therefore, 58 child tickets were sold on that day.