Question

Man has 25 coins in his pocket,the total value of his change is 475 cents, how many dimes and how many quarters does he have?

Answer 1

Hi there!
Here's the answer:

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Let x = No. of quarters
25 - x = No. of dimes
{°•° Total No. of coins = 25}

Given,
Total Value of of coins = 370 cents

Total Value of coins = No. of coins × Value of each coin

=> 25x + 10(25-x) = 370

=> 25x + 250 - 10x = 370

=> 15x + 250 = 370

=> 15x = 370 - 250

=> 15x = 120

=> x = 8

&

25 - x = 25 - 8 = 17

•°• He have 8 quarters and 17 dimes in his pocket


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Hope it helps