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A sum of ₹ 12 is made up of 30 coins which consist of either 50-paise or 25-paise. How many are there of each type, respectively?
Question

A sum of ₹ 12 is made up of 30 coins which consist of either 50-paise or 25-paise. How many are there of each type, respectively?

A.

18,12

B.

18,18

C.

12,6

D.

12,12

Correct option is A

Given
Total coins = 30
Total amount = ₹ 12 (1200 paise)

Formula Used
Let number of 50-paise coins be x.
Number of 25-paise coins = 30 - x.

Solution
50x + 25(30 - x) = 1200
50x + 750 - 25x = 1200
25x = 450
x = 18
Number of 50-paise coins = 18
Number of 25-paise coins = 30 - 18 = 12

Final Answer
So the correct answer is (a)

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