Question

Divide $350 between two girls in the ratio 3:4. How much is the larger share?

Answer 1

Answer:

200

Step-by-step explanation:

3+4=7

4/7×350=200$

Answer 2

Given Information :

• Total amount of money = Rs. 350
• Ratio 3:4

To Find :

• The larger share among the two girls.

Solution :

Let's consider the two ratios as 3x and 4x.

$\implies \tt \: 3x + 4x = Rs. \: 350 \\ \implies \tt \: 7x = 350 \\ \implies \tt \: x = \cancel \dfrac{350}{7} \\ \implies \underline{ \boxed{ \tt{x = 50}} }$

Now we need to calculate the difference between the two ratios and find the larger scale among the two girl's share.

$\dag \underline{\tiny{\sf{First \: girl's \: share}}}$

$\implies \tt \: 3x = 50 \times 3 \\ \\ \implies \underline{ \boxed{ \tt{ \pmb{Rs. \: 150}}}}$

$\dag \underline{\tiny{\sf{Second \: girl's \: share}}}$

$\implies \tt \: 4x = 50 \times 4 \\ \\ \implies \underline{ \boxed{ \tt{ \pmb{Rs. \: 200}}}}$

$\therefore \underline{\sf{The \: larger \: scale = \bf Rs. \: 200}}$