Rama has only 10 paise and 25 paise coins in a purse if in all she has 60 coins worth rupees 8.25 how many coins of each denomination does she have
Answers
Answer:10p - 45 and 25p-15
Step-by-step explanation:
let 10p coins be=x
25 p coins be = 60 - x
Hence,
10x+25(60-x)=8.25rs
Finally after solving we get the answer
Concept-
Try of make the equations and solve the pair of linear equations.
Given-
It is given that Rama has only 10Paise and 25paise coins in a purse and the total amount in the purse is rupees 8.25
Find-
If Rama has total 60 coins worth rupees 8.25 , then we need to find that how many coins of each denomination does she have .
Solution-
Let the number of 10paise coin = x
Let the number of 25paise coin = y
x + y = 60 → equation (1)
Also, 1/10x +1/4y = 8.25
Multiply both sides by 100
⇒ 10x +25y = 825 → equation (2)
Now, multiply equation (1) by 10
⇒ 10x + 10y =600 → equation (3)
On solving equation (2) and equation (3),
15y = 225
y= 225/15
y= 15
Therefore, x = 45 ( as x + y = 60)
Hence, Rama has 45 coins of 10paise and 15 coins of 25paise.
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