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Math Help 6?


A Scooter Designer Uses The Same Body To Make Scooters With Three Wheels And Scooters With Four Wheels. He Has Enough Bodies To Make 50 Scooters. He Has 160 Wheels. How Many Three-Wheeled Scooters And Four Wheeled Scooters Can He Make Using All The Bodies And All The Wheels?

Show All Your Work. Eplain In Words How You Got Your Answer And Why You Did The Steps You Did To Solve The Problem.

Please Help Me Today!!!!

X=number of 3 wheel scooters
Y=number of 4 wheel scooters
X+Y=50 : X=50-Y
3X+4Y=160 number of wheels

3(50-Y)+4Y=160 then: Y=160-150=10
X=50-Y=50-10=40

Then:
40 x 3 wheel scooters and 10 x 4 wheel scooters

3w + 4v = 160
w + v = 50

find intersect or solve using substitution, cancelation or matrix multiplication

To use all 50 bodies, you have to make 50 scooters. The wheels work out to 40 with 3 wheels (120) and 10 with for wheels (40) for the total 160 wheels.

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