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

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

anonymous · Answer

450 is what I got.
x+y = 1070
3x-2y = 110

Multiply first equation
2x + 2y = 2140
Now add to second equation
You get
5x = 2250
x = 450