a total of 324 coins of 20 paise and 25 paise make a sum of rs 71 the number of 25 paise coins is
Answers
GIVEN
Total number of coins = 324
Total amount is = Rs.71 = 7100 paise
TO FIND :- Number of 25 paise coins.
SOLUTION
Let x be number of 20 paise coins
Let y be number of 25 paise coins
According to the question ,
x + y = 324 ... eq.01
20x + 25y = 7100 ...eq02
We can solve both the equation by pair of linear equation one variable,
y = 324 - x (from eq.01)
We can substitute this value in equation 02,
20x + 25(324 - x) = 7100
=> 20x + 8100 - 25x = 7100
=> - 5x = 7100 - 8100
=> - 5x = - 1000
=> x = 200
Now, the number of 20 paise coins is 200.
Hence number of 25 paise coins will be,
324 - 200 = 124(ANS)
The number of 20 paise coins = 200
The number of 20 paise coins = 200The number of 25 paise coins = 124 (ANS)
VERIFICATION
Putting both values in eq.02,
LHS = 20x + 25y
= 20 × 200 + 25 × 124
= 4000 + 3100
= 7100
= RHS
Hence, LHS = RHS Our answer is correct.
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