Q82 of 107 Page 104

In a bag, the number of one–rupee coins is three times the number of two rupees coins. If the worth of the coins is ₹ 120, find the number of 1–rupee coins.

Let the number of two–rupee coin be y. Then, the number of one–rupee coins is 3y.


Total money by two –rupee coins = 2 × y = 2y


Total money by one –rupee coins = 1 × 3y = 3y


Total worth of coins = ₹120


So, the equation formed is 2y + 3y = 120


⇒ 5y = 120


⇒ [Divide by 5 both side]


⇒ y = 24


∴ Number of two–rupee coins = y = 24 and number of one–rupee coins = 3y = 3 × 24 = 72.


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