Question

15. Leena has 117 rupees in the form of 5 rupee coins and 2 rupee coins. The number of
2 rupee coins is 4 times that of 5 rupee coins. Find the number of coins of each
denomination.​

Answer 1

Answer:

5 rs coin 9

2 rs coin 36

Explanation:

let the no. of 5 rupee coin be x

therefore,2 rupee coin will be 4x

A/Q

2×4x+5×x=117

8x+5x=117

13x=117

x=117÷13

x=9

5rs coins =9

therefore 2rs coins = 9×4=36

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Answer 2

Answer:

There are 9 coins of rupees 5 and 36 coins of rupee 2.

Explanation:

Let the no. of coins of Rupee 5 coin be = x

No. of coins of Rupees 2 = 4x

Total money = ₹117

Now

Total money be rupee 5 coins = ₹5x

Total money by rupee 2 coins = ₹8x

No. of coins of each domination

= 5x + 8x = 117

= 13x = 117

= x = 117 ÷ 13

= x = 9

No. of coins of Rupee 5 = 9

No. of coins of Rupee 2 = ₹5x × 4 = 9 × 4 = 36

• Therefore, there are 9 coins of Rupee 5 and 36 coins of Rupee 2.