Question

Q1. Sara, Hina, and Arslan have a total of Rs. 930 in their wallets. Sara has Rs. 7 more
than Hina. Arslan has 3 times what Sara has. How much do they have in their wallets?
Hion hos​

Answer 1

Given : Sara, Hina, and Arslan have a total of Rs. 930 in their wallets.

Sara has Rs. 7 more than Hina. Arslan has 3 times what Sara has.

To Find : How much do they have in their wallets?

Solution:

Let say Hina has  =  Rs  X

Sara has Rs. 7 more than Hina

=> Sara has = X + 7   Rs

Arslan has 3 times what Sara has.

=> Arslan has = 3(X + 7)  = 3X  + 21  Rs

Total = X + X + 7 + 3X + 21

= 5X + 28  Rs

5X + 28  = 930

=> 5X = 902

=> X = 180.4

X + 7 = 187.4

3X + 21  =  562.2

Hina has  =  Rs  180.4

Sara has   =  Rs  187.4

Arslan has = Rs 562.2

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Answer 2

Given:

Sara, Hina, and Arslan have a total of Rs. 930 in their wallets.

Sara has Rs. 7 more than Hina. Arslan has 3 times what Sara has.

To find:

How much do they have in their wallets?

Solution:

Let,

"S" → represents the money present in the wallet of Sara

"H" → represents the money present in the wallet of Heena

"A" → represents the money present in the wallet of Arsalan

Sara has Rs. 7 more than Hina, so the equation will be,

S = H + 7

⇒ H = S - 7

Arslan has 3 times what Sara has, so the equation will be,

A = 3S

The total amount in the wallet of Sara, Hina & Arsalan = Rs. 930

i.e., $S + H + A = 930$

$\implies S + S - 7 + 3S = 930$

$\implies 2S - 7 + 3S = 930$

$\implies 2S + 3S = 930 + 7$

$\implies 5S = 937$

$\implies \bold{S = 187.4}$

∴ H = S - 7 = 187.4 - 7 = 180.4

and

∴ A = 3S = 3 × 187.4 = 562.2

Thus, the money present in the wallets of each of them is:

$\boxed{\bold{Sara\rightarrow \underline{Rs.\: 187.40}}}\\\\\boxed{\bold{Hina\rightarrow \underline{Rs.\: 180.40}}}\\\\\boxed{\bold{Arslan\rightarrow \underline{Rs.\: 562.20}}}$

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