I have a total of ₹ 300 in coins of denomination₹ 1, ₹2 and ₹ 5. The number of ₹2 coins is 3 times the number of₹ 5 coins. The total number of coins is 160. How many coins of each denomination are with me?
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Answers
Answer:
Let the number of coin 5 = Rs.x
so the number of coin 2 = 3x
so the number of coin 1 = 160 - 4x
so amount of rs.5 = 5x
so the amount of rs.2 = 6x
a/q
5x + 6x + 160 - 4x = 300
7x = 300 - 160
7x = 140
x = 20
so the number of coin of 5 = 20 coins
so the number of coin of 2 = 60 coins
so the number of coin of 1 = 80 coins
Step-by-step explanation:
==>I have a total of ₹ 300 in coins of denomination₹ 1, ₹2 and ₹ 5. The number of ₹2 coins is 3 times the number of₹ 5 coins. The total number of coins is 160. How many coins of each denomination are with me?
let the total number of rupee 5 coins be x
====> number of 2 rupee coins = 3x.....(given)
====> total coins = 160........(given)
so,
number of 1 rupee coins =
total coins - number of 2 and 5 rupee coins...
===> 160-4x = number of 1 rupee coins
so, solving further
the total amount given is 300
===> amount in 5 rupee coins = 5×x = 5x
===> amount in 2 rupee coins = 2×3x = 6x
solving,
300 = 6x+5x+160-4x
===> 300=160+7x
===> 140 = 7x
===>
so,
the number of 5 rupee coins are x = 20
the number of 2 rupee coins are 3x = 60
the number of 1 rupee coins are 160-4x = 80
so these coins are with you!!!!