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 1150. If three times the number of one-step equations minus twice the number of two-step equations is equal to 1300, how many one-step equations auditioned today?

Question

anonymous · Answer

430

 720

 1150

 1300

campbell_st · Answer

a = 1 step equations
b = 2 step equations

a+ b = 1150            (1)
3a -2b = 1300         (2)

equation (1) x 2 + equation (2) will eliminate b

5a = 3600

a = 720

then b = 430

there were 720 one step equations and 430 two step equations