Question

At the Astros game Charles bought 3 shirts, 1 pennant, and 1 baseball caps for $100. Andy bought 1 shirt, 1 pennant, and 1 baseball cap for $50. Tim bought 1 shirt, 2 pennants, and 3 baseball caps for $90. How much did each item cost?

The shirts cost $ each.
The pennants cost each.
The baseball caps cost each.

Answer 1

The shirts cost $20 each, the pennants cost $10 each, and the baseball caps cost $15 each.

Step-by-step explanation:

To find the cost of each item, we can set up a system of equations using the given information.

1. Let's denote the cost of a shirt as x, the cost of a pennant as y, and the cost of a baseball cap as z.
2. We can write the following equations based on the information:

3x + y + z = 100

x + y + z = 50

x + 2y + 3z = 90

1. Solving this system of equations, we find that the shirts cost $20 each, the pennants cost $10 each, and the baseball caps cost $15 each.