vanishka has 3 times as many two rupee coin as she has 5 rupee coins if she has in all a sum of 77 rupees how many coins she has in each denomination
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8
Number of 2 rupees coins = 21 and number of 5 rupees coins = 7
Solution:
Let us take number of 5 rupees coins as X and number of 2 rupees coins as Y
Amount of 5 rupees coin will make = 5X
Amount of 2 rupees coin will make = 3Y
Number of 2 rupees coin = 3×5 rupees
Number of 2 rupees coins are equal to 3X and number of 5 rupees is X
Total amount = 2( 3X ) + 5X = 11X
Now we can equate the amount which 11X = 77
X = 7
Now as we know the number of 2 rupees coin is 3X and number of 5 rupees coin is X, that means
Number of 2 rupees coins = 21 and number of 5 rupees coins = 7
Answered by
1
Vanshika has 3 times as many ₹2 coins as she has ₹5 coins.If she has in all a sum of ₹77
According to question-
let the number of ₹5 be x
number of ₹2 be 3x
Given sum of both coins is 77
Therefore,
➜ 5×(x)+2×(3x)=77
➜ 5x+6x =77
➜ 11x=77
➜ x=77/11
➜ x=7
Hence,
- Number of ₹5 coins, x=7
- Number of ₹2 coins,3x=3×7=21
:• She has 7 coins of ₹5 and 21 coins of ₹2.
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