Question

This week she sold 3 kids tickets and 9 adult tickerts for a total of $75. Last week she sold 8 kids tickets and 5 adult tickerts for $67. How much was each adult ticket, and how much was each kids ticket?

Answer 1

To solve this problem, set up a system of equations and solve using either the substitution or elimination method. Each adult ticket costs $7, and each kids ticket costs $4.

Step-by-step explanation:

To solve this problem, we can set up a system of equations.

Let's denote the ticket price for kids as 'x' and the ticket price for adults as 'y'.

From the given information, we can write two equations:

1. 3x + 9y = 75 (equation 1)
2. 8x + 5y = 67 (equation 2)

To solve this system, we can use the method of substitution or elimination. Let's use the elimination method:

1. Multiply equation 1 by 8 and equation 2 by 3 to make the coefficients of 'x' in both equations equal (24x in both equations).
2. Subtract equation 2 from equation 1:

(24x - 24x) + (72y - 15y) = 600 - 201

57y = 399

y = 7

Substitute the value of 'y' (7) into either equation 1 or equation 2 to solve for 'x':

3x + 9(7) = 75

3x + 63 = 75

3x = 12

x = 4

So, each adult ticket costs $7, and each kids ticket costs $4.