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 1120. If three times the number of one-step equations minus twice the number of two-step equations is equal to 1300, how many two-step equations auditioned today?

1300

1120

708

412

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 1120. If three times the number of one-step equations minus twice the number of two-step equations is equal to 1300, how many two-step equations auditioned today?

1300

1120

708

412

anonymous · Answer

I think the answer is 412

anonymous · Answer

x+y=1120 
Eliminate the y: y=1120-x
x=first step and y=second step
The second equation is: 2x-2(1120-x)=1300
Solve: 5x-2240=1300
5x=3540
x=708
Now we would like to know the amountof the second step auditionerwhich is equal to y
So plug in 708 into the equation of y: y=(1120-708)
y=412

anonymous · Answer

If something isn't clear just ask me to explain