Question

Mike has coins of the denomination of $1,50 cents and 25 cents in the ratio of 12:10:7. The total
worth of the coins he has is $75. What is the number of 25 cent coins that Mike has?
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Answer 1

Answer:

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Answer 2

Given: Coins of the denomination of $1, 50 cents and 25 cents are in the ratio

           of 12:10:7

           Total worth of the coins = $75

To find: The number of 25 cent coins

Solution: There are 100 cents in a dollar. Hence, we can convert $1 into cents by multiplying it with 100. So we get, $1 = 100 cents.

Similarly, total worth of the coins = 75 × 100 cents = 7500 cents.

Let us assume the number the number of $1, 50 cents and 25 cents as 12x, 10x and 7x.

Now according to the question,

(12x × 100) + (10x × 50) + (7x × 25) = 7500

⇒ 1200x + 500x + 175x = 7500

⇒ 1875x = 7500

⇒ x = 7500/1875

⇒ x = 4

Therefore, the number of 25 cent coins = 7x = 7 × 4 = 28.

Answer: 28