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Whitepunk [10]
4 years ago
6

While conducting an inventory in their bicycle shop, the owner noticed the number of bicycles is 2 fewer than 10 times the numbe

r 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.
Mathematics
1 answer:
julia-pushkina [17]4 years ago
6 0

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

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