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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. - Mathematics

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Question

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.

Sum
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Solution

Let the number of two rupee coins be y.

Then, the number of one rupee coin is 3y.

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

Total money by one rupee coin = 1 × 3y = 3y

Total worth of coins = ₹ 120

So, the equation formed is 2y + 3y = 120  ...[Given]

⇒ 5y = 120

`(5y)/5 = 120/5`  ...[Dividing both sides by 5]

⇒ y = 24

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

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Chapter 4: Simple Equations - Exercise [Page 113]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 4 Simple Equations
Exercise | Q 82. | Page 113

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