Answered

IDNLearn.com offers a user-friendly platform for finding and sharing answers. Our Q&A platform offers reliable and thorough answers to ensure you have the information you need to succeed in any situation.

in a parking lot there are totally 70 vehicles, cars and motorcycles. all together they've got 258 wheels. how many cars are there and how many motorcycles are there in the parking lot?

i need to understand how this was solved, thank you

Sagot :

1 car - 4 wheels
1 motorcycle - 2 wheels

x - number of cars
y - number of motorcycles

so, there are 70 vehicles: x + y = 70
and all togeather they've got 258 wheels: 4*x + 2*y = 258
because each car has 4 wheels, so all car wheels = 4*x,
likewise 2*y for motorcycles

x + y = 70  /* 4
4 x + 2y = 258

4 x + 4 y = 280  (R1)
4 x + 2y = 258    (R2)

2y = 22  /:2      it is R1 - R2
x = 70 - y

y = 11    /motorcycles
x = 70 - 11 = 59  /cars

check:
59 + 11 = 70  ok
59 * 4 + 11 * 2 = 236 + 22 = 258  ok
Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. IDNLearn.com has the solutions to your questions. Thanks for stopping by, and come back for more insightful information.