Question

12. In a shop, there was a total of 93 bicycles and tricycles. Each bicycle had
2 wheels and each tricycle had 3 wheels. There were a total of 211 wheels.
How many bicycles were there in the shop?​

Answer 1

✬ Tricycles = 25 ✬

✬ Bicycles = 68 ✬

Step-by-step explanation:

Given:

• Total number of vehicles in shop is 93.
• Bicycles have 2 wheels.
• Tricycles have 3 wheels.
• Total number of wheels are 211.

To Find:

• Number of bicycles in shop ?

Solution: Let number of tricycles be x. Therefore,

➟ Number of bicycles = (93 – x)

[ Adding the number of wheels in both vehicles ]

➟ Bicycle's wheels = 2(93 – x)

➟ Tricycle's wheels = 3x

A/q

• Total wheels are 211

$\implies{\rm }$ (Bicycles + Tricycles) wheels = 211

$\implies{\rm }$ 2(93 – x) + 3x = 211

$\implies{\rm }$ 186 – 2x + 3x = 211

$\implies{\rm }$ x = 211 – 186

$\implies{\rm }$ x = 25

So,

➙ Number of tricycles x = 25

➙ Bicycles are (93 – x) = 93 – 25 = 68

______________

★ Verification ★

➮ Tricycles + Bicycles = 211 wheels

➮ 25(3) + 68(2) = 211

➮ 75 + 136 = 211

➮ 211 = 211

$\large\boxed{\texttt{Verified}}$

Answer 2

Answer:-

➣

No. of Bicycles = $\bf{68}$

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• Given:-

Total number of Bicycles and Tricycles in shop=$\bf{93}$

Bicycles have $\bf{2 \: wheels}$

Tricycles have $\bf{3 \: wheels}$

Total no. of wheels =$\bf{211}$

• To Find:-

Number of bicycles in shop =$\bf{?}$

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• Solution:-

Let number of tricycles be $\bf{"x"}$

Therefore,

Number of bicycles = ${(93 - x)}$

Bicycle's wheels = ${2(93 - x)}$

Tricycle's wheels = $3x$

Given that:-

• Total wheels are 211

Therefore,

The sum of the wheels of Bicycles and Tricycles will be $\bf{211}$

i.e;

$[Bicycles + Tricycles] wheels = {\bf{211}}$

$\longrightarrow{2(93 - x) + 3x = 211}$

$\longrightarrow{186 - 2x + 3x = 211}$

$\longrightarrow{x = 211 - 186}$

$\bf{x = 25}$

Hence,

• Number of tricycles = $\bf{25}$

• Bicycles =$(93 - x)$

$= 93 - 25$

$\large \implies \bf{ 68}$

$\therefore \large{Therefore,}$

• No. of Bicycles is $\large \bf{68}$

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