Question

Anja and Ruan share a box of 35 chocolate bars in the ratio Anja : Ruan = 1 : 4 Calculate the number of chocolate bars Ruan received.

Answer 1

Answer:

No. of chocolates Ruan have after distribution = 4x = 4 × 7 = 28

Step-by-step explanation:

let the number of chocolates Anjana and ruan have be 1x and 4x respectively.

we have been told that in question there is 35 chocolate balls which is being distributed between Anjana and Ruan.

according to this given data.

we have,

$\sf \longrightarrow \: 1x + 4x = 35$

$\sf \implies \: 5x = 35$

$\sf \implies \: x = \dfrac{35}{5}$

$\sf \implies \: x = 7$

We find the value of x as 7.

According to the question

No. of chocolates Anjana have after distribution = 1x = 1 × 7 = 7

No. of chocolates Ruan have after distribution = 4x = 4 × 7 = 28

What you need to know ?

• Ratios are the relation between two quantities.

• Euclid has invented idea of Ratios.

• Euclid was a Greek mathematics , he has done wonders in field of mathematics.

Answer 2

Answer:-

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Number of Chocolate bars Ruan recieved=$\bf{28}$

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• Given:-

Total number of chocolates =$\bf{35}$

Ratio = $\bf{1:4}$

• To Find:-

Number of chocolate bars Ruan recieved=$\bf{?}$

• Solution:-

Let the number of chocolates recieved by Anjana and Ruan be $\bf{x}$ and $\bf{4x}$.

ATQ:-

$\implies{x + 4x = 35}$

$\implies{5x = 35}$

$\implies{x = \dfrac{35}{5}}$

$\implies{x = \cancel{\dfrac{35}{5}}}$

$\implies \bf{x = 7}$

Given that:-

Ratio is $\bf{1:4}$

Here,

Ratio of Anjana = $\bf{x}$

Ratio of Ruan = $\bf{4x}$

Therefore,

No. of chocolates recieved by Anjana = $x \implies {\bf{7}}$

No. of chocolates recieved by Ruan = $4x \implies{4 \times 7}$

$\implies \bf{28}$

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