Vijay has coin of rs.1, 50p,25 p in the ratio of 12: 10:7 the total worth of the coins he has is rs. 75. find the number of 25 p coins that Vijay has
Answers
Answer:
Step-by-step explanation:
I think this will help you :-
1 Rupee = 100 paise
75Rs = 7500 paise
100p : 50p : 25p = 12 : 10 : 7
12*100X + 50*10X + 25*7X = 7500
1875X = 7500
X = 4
4*25*7 = 700 p
4*50*10 = 2000 p
4*100*12 =4800 p
sum of 4800,2000,700 is 7500. Just to verification
700 is the number of paise which we got adding all the 25 paise coins
so number of 25 paise coins = 700/25 = 28 coins.
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The number of 25 p coins with Vijay are 28 coins.
Given - Ratio
Find - Number of 25 p coins
Solution - As we know, Re. 1 is 100 paise.
So, value of 1 Re. coin = 100 paise.
Total value of coins = 75*100
Total value of coins = Rs. 7500
Let the number of 100p, 50p and 25p coins be 12x, 10x and 7x.
So, forming the equation -
100*12x + 50*10x + 25*7x = 7500
1200x + 500x + 175x = 7500
1875x = 7500
x = 4
So, number of 25p coins = 7*4
Number = 28
Hence, there are 28 coins of 25p.
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