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 1070! If three times the number of one-step equations minus twice the number of two-step equations is equal to 110, how many one-step equations auditioned today?

900

620

520

450

Answer 1

help please

Answer 2

i will give you a medal

Answer 3

Let x = number of one-step equations
Let y = number of two-step equations

"The number of one-step equations and two-step equations who have been eliminated today is equal to 1070." This means:
x + y = 1070

"three times the number of one-step equations minus twice the number of two-step equations is equal to 110" means:
3x - 2y = 110

You have a system of equations:
x + y = 1070
3x - 2y = 110

Multiply the first equation by 2, and add to the second equation:
2x + 2y = 2140
3x - 2y = 110
---------------(add)
5x = 2250
x = 450

Answer: 450 one-step equations