# Gujarat Class 8 Answered

**I have a total of rupees 300 in couns of denomination rupess 1 , rupees 2 , rupees5 . The number of rupees 2 coins is 3 times the number of 5 rupees coins . The total number of coins is 160 . How many coins of each denomination are with me ?**

Asked by yashvigajra28 | 06 Aug, 2020, 11:14: PM

Expert Answer

Total rupees = 300

Total coins = 160

Denominations of coins - rupee 1, rupee 2 and rupee 5

no of rupee 2 coins = 3 times rupee 5 coins

Let no. of 5 rupee coins be x

no. of rupee 2 coins = 3x

no of 1 rupee coins = 160 - 4x

Value

300 = 1.(160 - 4x) + 2.3x + 5x

300 = 160 - 4x + 6x + 5x

300 = 160 + 7x

140 = 7x

20 = x

no. of 5 rupee coins be x = 20

no. of rupee 2 coins = 3 times 20 = 60

no of 1 rupee coins = 160 - 80 = 80

Answered by | 09 Aug, 2020, 05:10: PM

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