How many coins each? The ratio of the number of ₹2, ₹5 and 10 coins is 4:2:1 Total amount = 140
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Step-by-step explanation:
Let us assume,
- The number of ₹10 coins be x,
- The number of ₹5 coins should be 2x,
And
- The number of ₹2 coins should be 4x.
As given,
- The total amount of coins is ₹140.
We know that,
- Value of coin × No. of coins = Total amount
We can say that,
- ₹10(x) + ₹5(2x) + ₹2(4x) = ₹140
Finding The value of x,
- ➠ 10x + 10x + 8x = 140
- ➠ 28x = 140
- ➠ x = 140/28
- ➠ x = 5
We found,
- The value of x is 5.
As we assumed,
- The number of ₹10 coins be x,
- The number of ₹5 coins should be 2x,
And
- The number of ₹2 coins should be 4x.
Therefore,
- The number of ₹10 coins is 5.
- The number of ₹5 coins is 10.
And,
- The number of ₹2 coins is 20.
Finalized Answer:
- The number of coins of ₹2, ₹5 and ₹10 are 20, 10 and 5 respectively.
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