Question

At the city museum, child admission is $5.10 and adult admission is $8.20. On Wednesday, 176 tickets were sold for a total sales of $1201.40. How many child tickets were sold that day?

Answer 1

So 98 adult tickets were sold.

Explanation:

Let's use a system of equations to solve the problem.

Let x be the number of child tickets sold and y be the number of adult tickets sold. Then we have:

x + y = 176 (equation 1)

5.10x + 8.20y = 1201.40 (equation 2)

We can solve for x by isolating y in equation 1 and substituting into equation 2:

y = 176 - x (from equation 1)

5.10x + 8.20(176 - x) = 1201.40 (substitute into equation 2)

5.10x + 1443.20 - 8.20x = 1201.40

-3.10x = -241.80

x = 78

Therefore, 78 child tickets were sold that day. We can find the number of adult tickets by substituting x into equation 1:

78 + y = 176

y = 98

So 98 adult tickets were sold.