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 610! If four times the number of one-step equations minus twice the number of two-step equations is equal to 340, how many one-step equations auditioned today?

260

340

350

670

Answer 1

set up equations, have x equal to 1-step and y equal to 2-step
x + y = 610
4x - 2y = 340
find a way to substitute for x or y
see we have x and 4x , lets try that
get x by itself for the first equation
x = 610 - y
4x = 4(610 - y)

2440 - 4y - 2y = 340
use this equation to find # of 2-step equations
then subtract from 610

Answer 2

thanks :)

Answer 3

Your welcome! :)