Question

I have some 20 paise coins and an equal number of 10 paise coins. if the total amount is 300 rupee, how many of each denominations each have

Answer 1

Total no. Coins of each denomination is 100

Answer 2

The number of coins in each denomination is 10.

How to calculate a linear equation?

To solve this problem, let us first construct a linear equation that will be suitable. We have to find the number of coins of each denomination.

Let number of coins for 20 be x.

Let number of coins for 10 be y.

The total amount is 300 rupees.

We get a linear equation as follows:

20x + 10y = 300

But, the number of coins for both denominations is same.

That means, x = y.

The equation thus becomes,

20x + 10x = 300

30x = 300

∴ x = 10.

Hence, 10 coins of each denomination make up the amount to 300 rupees.

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