A scooter designer uses the same body to make scooters with three wheels and scooters with four wheels. He has enough bodies to make 5o scooters. He has 160 wheels. How many three wheel scooters and four wheel scooters can he make by using all the bodies and all the wheels?
- tell in words HOW you solved the problem
-tell in words WHY you took the steps you did to solve teh problem
2007-10-15 12:25:37 · 6 answers · asked by Anonymous in Education & Reference ➔ Homework Help
50 scooter bodies. If he makes all 3 wheelers, he will use 150 wheels (3 X 50), so there must be 10 of the 4 wheelers to make up the extra (160 - 10). Figuring there are 10 of the 4 wheelers, leaves 40 of the 3 wheelers (50 - 10).
(10) 4 wheelers = 40 wheels
(40) 3 wheelers = 120 wheels
40 + 120 = all 160 wheels
2007-10-15 12:32:07 · answer #1 · answered by Mr Answerman 7 · 3⤊ 0⤋
If he makes 50 scooters with 3 wheels he would have used 150 wheels and have 10 wheels over.
That would mean that 10 of the scooters could have 4 wheels and 40 of them have 3.
That is the way that seemed obvious to me to follow.
There are other combinations possible by building less scooters.
2007-10-15 12:33:42 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Set x + y equal to 50. x is the number of 3 wheeled scooters, y is the number of 4 wheeled scooters. This is to make sure that the number of scooters equals 50.
x+y=50
Make another equation for the number of wheels. This will ensure that you use 160 wheels.
3x+4y=160
You now have
3x+4y=160
x+y=50
Multiply x+y=50 by -3 in order to cancel out the x's and solve for y. Since x and y will be the same for both equations, it is acceptable to combine them.
3x+4y=160
-3x-3y=-150
Combine the equations
3x-3x=0
4y-3y=y
160-150=10
Now you have
y=10
which is the number of scooters with 4 wheels.
Plug y (10) into the original equation
x+y=50
x+10=50
Now solve for x.
x=40
To check, plug 40 in for x and 10 into y for the second equation to see if the number of wheels equal.
3x+4y=160
3(40)+4(10)=160
120+40=160
160=160
40 scooters with 3 wheels
10 scooters with 4 wheels
2007-10-15 12:37:03 · answer #3 · answered by penny 3 · 0⤊ 0⤋
You have information that gives you two equations. Make your 2 unknowns - x=4 wheel scooters; y = 3 wheel scooters. The equations
number of scooters
x+y=50
number of wheels
4x+3y=160
With 2 equations you can put them together. Take the first one
x+y =50 so x=50-y
put that value of x into the second equation and solve for y
4x + 3y = 160
4 (50-y) + 3y =160
200 -4y + 3y = 160
y = 40
with y = 40, and x=y = 50, then x = 10
2007-10-15 12:34:13 · answer #4 · answered by JuanB 7 · 0⤊ 0⤋
you can have 28 4-wheeled scooters and 3 3-wheeled scooters if you wanted
i got this by dividing 160 by 4
then i wanted some 3 wheeled scooters so i found the LCM of 4 and 3 and got 12
then i subtracted 12 from 40 and got 28
hope i could help you
2007-10-15 12:32:07 · answer #5 · answered by Anonymous · 0⤊ 0⤋
would that be 160 wheels divided by 3 wheels or 4 wheels?? because I don't get it!!!
2007-10-15 12:30:44 · answer #6 · answered by Popstar Princess 2 · 0⤊ 2⤋