Q: 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 eliminated today?
1300
1120
708
412

A: "The number of one-step equations and two-step equations who have been eliminated today is equal to 1120" is the same as saying x + y = 1120 (where x is one-step, [ and y is two-step)
"three times the number of one-step equations minus twice the number of two-step equations is equal to 1300" is the same as saying 3x - 2y = 1300
If x + y = 1120, then if you subtract y from both sides you get
x

= 1120 - y
If you substitute this value for x into the other equation (3x - 2y = 1300) you get
3x - 2y = 1300
3(1120 - y) - 2y = 1300
Solve for y
3360 - 3y - 2y = 1300
-5y = -2060
y = 412
Source: 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 eliminated today? 1300 1120 708 412 ]

Expert answered|broarnoldmartin|Points 25|

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