Question

While conducting an inventory in their bicycle shop, the owner noticed the number of bicycles is 2 fewer than 10 times the number of tricycles. They also know there are 410 wheels on all the bicycles and tricycles in the store. Write and solve a system of equations to find the number of bicycles in the store.

Answer 1

Bicycle=178, Tricycles=18

Explanation:

Let the number of bicycles be x and tricycles y.

we are given that the number of bicycles is 2 fewer than 10 times the number of tricycles.

So we can write
`x=10y-2...(i)`

They also know there are 410 wheels on all the bicycles and tricycles in the store.

So we can write
`2x+3y=410..(ii)`

Now solve these two equations togethere

`2(10y-2)+3y=410\\20y-4+3y=410\\23y=414\\y=(414)/(23)\\\\y=18`

`x=18*10-2\\x=180-2\\x=178\\`

Bicycle=178, Tricycles=18