SOLUTION: Acme auto repair has 13 cars and motorcycles to repair. The vehicle have a total of 42 wheels. If x represents the number of cars and y represents the number of motorcycles, whic

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Acme auto repair has 13 cars and motorcycles to repair. The vehicle have a total of 42 wheels. If x represents the number of cars and y represents the number of motorcycles, whic      Log On


   

Question 1082496: Acme auto repair has 13 cars and motorcycles to repair. The vehicle have a total of 42 wheels. If x represents the number of cars and y represents the number of motorcycles, which system of equations represents this situation?
1. x+y=13, 2x+4y=42
2. x+y=13, 2x+2y=42
3. x+y=42, 2y+4x=13
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

13 cars and motorcycles to repair
let's x be motorcycles and y cars
x%2By=13....eq.1
The vehicle have a total of 42 wheels.
since motorcycle has 2 wheels, x motorcycles have 2x wheels, and car have 4 wheels, y cars have 4y wheels, we have:
2x%2B4y=42....eq.2
your option is:
1. x%2By=13, 2x%2B4y=42



Answer by ikleyn(52903) About Me  (Show Source):
You can put this solution on YOUR website!
.
Acme auto repair has 13 cars and motorcycles to repair. The vehicle have a total of 42 wheels.
If x represents the number of cars and y represents the number of motorcycles, which system of equations represents this situation? 

1. x+y=13, 2x+4y=42

2. x+y=13, 2x+2y=42

3. x+y=42, 2y+4x=13
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NO ONE of presented systems represents the situation.


If do not consider that unrealistic case that each car has 2 wheels, and each motorcycle has 4 wheels.