# Aravind has a kiddy bank. It is full of one-rupee and fifty paise coins. It contains 3 times as many fifty paise coins as one rupee coins.

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Aravind has a kiddy bank. It is full of one-rupee and fifty paise coins. It contains 3 times as many fifty paise coins as one rupee coins. The total amount of the money in the bank is ₹ 35. How many coins of each kind are there in the bank?

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Number of 1 rupee coins = x say.

Number of 50 paise coins = 3 × x = 3x

The value of total coins = $\frac{3x}2$ + x

[∵50 paisa coins of 3x = ₹ $\frac{3x}2$

According to the sum

⇒  $\frac{3x}2$ + x = 35

⇒  $\frac{3x\,+\,2x}{2}$ = 35

⇒ 5x = 2 × 35

⇒ x = 2 × $\frac{35}2$

∴ x = 14

∴ Number of 1 rupee coins = 14

Number of 50 paisa coins = 3 × x = 3 × 14 = 42