Question

Douglas bought a $20 game card at a game center. The go-karts cost $3.50 each time you race. He wants to have at least $7.75 left on his card to play arcade games. Write and solve an inequality to determine how many times Douglas can race the go-karts. Then interpret the solution.

Answer 1

3 races

Explanation:

(Let t = total number of races)

Each race costs $3.50, so the total cost of racing t times is 3.50 × t or 350t. Douglas wants to have at least $7.75 left on his card, so an inequality to represent this would look like this:

• 20 - 3.50x >= 7.75

Solving this inequality, we get:

• -3.50x >= -12.25
• x <= 3.5

Or we can do this.

• 20 - 3.50 = 16.50 (1st race)
• 16.50 - 3.50 = 13.00 (2nd race)
• 13.00 - 3.50 = 9.50 (3rd race)
• 9.50 > 7.75

Therefore, Douglas can race the go-karts 3 times and still have at least $7.75 left on his card to play arcade games.