Question

In a bag , a number of one rupee coin is three times than two rupees coi . if there are only Rs 150 in his bag , find out the number of both the coins​

Answer 1

The number of one rupee coins is 90.

The number of two rupee coins is 30.

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Let's solve the given problem:

Let's say,

"x" → represents the number of 1 rupee coins in the bag

"y" → represents the number of 2 rupees coins in the bag

The number of one rupee coin is three times the two rupees coins, so we can form an equation as,

$x = 3y\:.\:.\:.\:(1)$

The total amount in the bag = 150

Therefore, we can form another equation as,

$[x\times 1\:rupee] + [y \times 2\: rupees] = 150$

$\implies x + 2y = 150$

• from (1), we get

$\implies 3y + 2y = 150$

$\implies 5y = 150$

$\implies \bold{y = 30}$

On substituting y = 30 in equation (1), we get

$x = 3\times 30 = 90$

Thus, the number of one rupee coin is 90 and the number of 2 rupee coins is 30.

Verification:

No. of 1 rupee coin in the bag = 90

No. of 2 rupee coins in the bag = 30

∴ Total amount in the bag = (90 × Re. 1) + (30 × Rs. 2) = Rs. 150

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