Question

13.
The ratio of number of chocolates with Seoni and Varsha is 7:9.If Varsha has 14 chocolates more than Seoni,
then find the total number of chocolates with them.

Answer 1

Seoni : varsha = 7:9

= 7x: 9x

9x - 7x = 14

2x= 14

x = 7

Total chocolates = 7x + 9x = 7×7 + 9×7

= 49+63

= 112

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Answer 2

Given :

• The ratio of number of chocolates with Seoni and Varsha is 7:9.
• Varsha has 14 chocolates more than Seoni.

To find :

• Total number of chocolates with them.

Solution :

Consider,

• Number of chocolates with Seoni = x .

→Varsha has 14 chocolates more than Seoni.

Then,

• Number of chocolates with Varsha = (x+14)

According to the question ,

$\implies\sf{x:(x+14)=7:9}$

$\implies\sf{\dfrac{x}{x+14}=\dfrac{7}{9}}$

$\implies\sf{9x=7x+98}$

$\implies\sf{9x-7x=98}$

$\implies\sf{2x=98}$

$\implies\sf{x=49}$

• Number of chocolates with Seoni = 49

• Number of chocolates with Varsha = (49+14) = 63.

Total number of chocolates with Seoni and Varsha ,

→ (49+63)

→ 112

Therefore, the total number of chocolates with them = 112.