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

Answer:

Bicycle=178, Tricycles=18

Step-by-step 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

$2(10y-2)+3y=410\\20y-4+3y=410\\23y=414\\y=\frac{414}{23}\\\\y=18$

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

Bicycle=178, Tricycles=18