Asked by sunil
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 denominations are with me?
Answers
Answered by
Reiny
Let the number of ₹5 coins be x
then the number of ₹2 = 3x
and the number of ₹1 = 160 - x - 3x
= 160 - 4x
Now for the value:
5x + 2(3x) + 1(160 - 4x) = 300
5x + 6x + 160 - 4x = 300
7x = 140
x = 20
You have 20 ₹5 coins
60 of the ₹2 coins and
80 of the ₹1 coins
check:
do the coins total 160 ? YES
value: 5(20) + 2(60) + 1(80) = 300
my answer is correct
then the number of ₹2 = 3x
and the number of ₹1 = 160 - x - 3x
= 160 - 4x
Now for the value:
5x + 2(3x) + 1(160 - 4x) = 300
5x + 6x + 160 - 4x = 300
7x = 140
x = 20
You have 20 ₹5 coins
60 of the ₹2 coins and
80 of the ₹1 coins
check:
do the coins total 160 ? YES
value: 5(20) + 2(60) + 1(80) = 300
my answer is correct
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