Question

Kosta is a contestant on a math quiz show. For every correct answer, Kosta receives $18.00. For every incorrect answer, Kosta loses $24.00. Kosta answers the questions correctly twice as often as he answers the questions incorrectly. In total, Kosta wins $72.00. How many questions does Kosta answer incorrectly?​

Answer 1

6

Explanation:

x = number of questions answered correctly

y = number of questions answered incorrectly

18x - 24y = 72

x = 2y

18*(2y) - 24y = 72

36y - 24y = 72

12y = 72

y = 72/12

y = 6