Question

 A bag contains $510 in the form of 50 p, 25 p and 20 p coins in the ratio 2 : 3 : 4. Find the number of coins of each type. ?​

Answer 1

Answer:

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Step-by-step explanation:

Let the number of 50 p, 25 p and 20 p coins be 2x, 3x and 4x.

Then 2x × 50/100 + 3x × 25/100 + 4x × 20/100 = 510

x/1 + 3x/4 + 4x/5 = 510

(20x + 15x + 16x)/20 = 510

⇒ 51x/20 = 510

x = (510 × 20)/51

x = 200

2x = 2 × 200 = 400

3x = 3 × 200 = 600

4x = 4 × 200 = 800.

Therefore, number of 50 p coins, 25 p coins and 20 p coins are 400, 600, 800 respectively.

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Answer 2

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