Question

At the city museum, child admission is $5.30, and adult admission is $8.60. On Tuesday, a total of 186 tickets were sold for a sales revenue of $1272.90. How many child tickets were sold that day?

A. 90 child tickets
B. 70 child tickets
C. 80 child tickets
D. 100 child tickets

Answer 1

To find the number of child tickets sold, we can set up a system of equations using the given information. Solving this system of equations, we can find the value of C. Therefore, 175 child tickets were sold that day.

Step-by-step explanation:

To find the number of child tickets sold, we can set up a system of equations using the given information. Let's represent the number of child tickets sold as C and the number of adult tickets sold as A. We can set up two equations:

1. C + A = 186 (the total number of tickets sold)

2. 5.30C + 8.60A = 1272.90 (the total revenue)

Solving this system of equations, we can find the value of C. Multiplying equation 1 by 5.30, we get:

5.30C + 5.30A = 5.30(186)

Subtracting equation 2 from this, we have:

5.30A - 8.60A = 5.30(186) - 1272.90

Simplifying this equation, we get:

-3.3A = -34.80

Dividing both sides by -3.3, we find:

A = 10.55

Since we can't have a fractional number of tickets, we can round A to the nearest whole number, which is 11. Substituting this value back into equation 1:

C + 11 = 186

Solving for C, we get:

C = 186 - 11 = 175

Therefore, 175 child tickets were sold that day. The answer is 175 D.