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
Uh...LOL

Answer 1

Hint:

x = one step
y = two step

x + y = 1120
3x - 2y = 1300

Answer 2

im not sure where to start.

Answer 3

2nd Hint:
Multiply the first equation by 2

Answer 4

Then add both equations together, then solve for x

Answer 5

Then subtract x from 1120 to find y

Answer 6

so 412..?

Answer 7

i dont know 708

Answer 8

You're guessing which means you didn't even attempt to solve it on your own.

Answer 9

well your explaining isnt very well.

Answer 10

I'll prove to you that my explanations were indeed well. Watch this:

Answer 11

Original Equations
x + y = 1120
3x - 2y = 1300

Multiply the first equation by 2:

2x + 2y = 2240

Add both equations together:
2x + 2y = 2240
3x - 2y = 1300

So adding results in
5x = 3540

Solve for x:

x = 708

Subtract that from 1120:
412

So the answer is 412