Question

Muhammed and audu are to share a sum of money in the ratio of 1:3 if audu gets 24 naira .how much does Muhammed get?​

Answer 1

$\rule{300}{1}$

$\frak\blue{\large{\underline{\underline{Given\;that : \qquad}}}}$

• Muhammed and audu are share a sum of money in the ratio of 1 : 3
• audu gets 24 naira

$\frak\blue{\large{\underline{\underline{need \: to\;find : \qquad }}}}$

• how much does Muhammed get?

$\: \text\blue{\large{\underline{\underline{solution : \qquad }}}}$

■ Given data : Muhammed and audu are share monet in the ratio of 1 : 3 and naira will gets 24 naira

let Muhammed and audu are share 1x and 3x

According to question

$\longrightarrow \text{ 1x + 3x = 24} \\ \\ \\ \longrightarrow \text{4x = 24} \\ \\ \\ \longrightarrow \bf{x = \dfrac{ \cancel{24}}{ \cancel4} } \\ \\ \\ \large \pink{ \longrightarrow \fbox{\boxed{\frak{ x} = 6}}}$

Hence Muhammed will get 6

$\rule{300}{1}$

Answer 2

Corrected question:

• Muhammed and audu are to share a sum of money in the ratio of 1:3 if audu gets Rs.24 .how much does Muhammed get?

Information provided with us:

• Ratio in which muhammed and audu had shared the sum of money = 1:3
• Amount of money that auda gets = Rs.24

What we have to calculate:

• Amount of money that muhammad would be getting?

How to solve these type of questions:

• Assume a variable (unknown) eg.,y
• According to the given statement, setup the two equations in term of y
• Solve the equations

Let us assume:

• Sum of money be y

Finding out shares of money:

• In order to find the share of money that muhammad and auda have shared , we have to multiply y with both the ratios.

For muhammad:

»» 1 × y = 1y

For auda:

»» 3 × y = 3y

Therefore, muhammad and auda have shared 1y and 3y rupees respectively.

Forming an equation:

As they have shared a sum of money so both the shares of money of muhammad and auda would be added which would be equal to the money that auda have got.

Therefore, equation formed:

»» 1y + 3y = 24

Solving the above equation:

Adding 1y and 3y,

➝ 1y + 3y = 24

➝ 4y = 24

Transposing sides,

➝ y = 24/4

➝ y = 12/2

Dividing 12 by 2,

➝ y = 6

Finding out money that muhammad gets:

Again given,

• Muhammad share is 1y
• y is 6

Substituting the value of y,

➝ 6 × 1

➝ Rs.6

Therefore, muhammad will get Rs.6

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