Question

The three Math Idol judges have been eliminating contestants all day! The number of one-step equations and two-step equations who have been eliminated today is equal to 1150. If three times the number of one-step equations minus twice the number of two-step equations is equal to 1300, how many one-step equations eliminated today?

430

720

1150

1300

Answer 1

a + b = 1150
3a - 2b = 1300

2 * (a + b) + 3a - 2b = 2 * 1150 + 1300
2a + 2b + 3a - 2b = 2300 + 1300
5a = 3600
5a/5 = 3600/5
a = 720

a + b = 1150
720 + b = 1150
b = 430

Answer 2

A. 430