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OpenStudy (anonymous):
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? 430 720 1150 1300
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hero (hero):
lol, thanks
hero (hero):
x = one step y = two steps
hero (hero):
x + y = 1150 3x - 2y = 1300
hero (hero):
y = 1150 - x y = (3x - 1300)/2 y = y 2(1150 - x) = 3x - 1300 2300 - 2x = 3x - 1300 2300 + 1300 = 5x 3600 = 5x x = 3600/5 x = 720 y = 430
hero (hero):
720 one-step equations auditioned today
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