A coin bank has 250 coins, dimes and quarters, worth $39.25. How many of each type of coin are there?

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A coin bank has 250 coins, dimes and quarters, worth $39.25. How many of each type of coin are there?

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Answer 1 · 2016-06-07T11:59:00

The bank has $95$ $95$ quarters and $155$ $155$ dimes.

Explanation:

If the bank has only quarters and dimes, and its total amount of coins is 250, then be $x$ $x$ the amount of quarters it has, it will have $250 - x$ $250-x$ dimes.

A quarter is worth $0.25 $$ $0.25$$ , a dime is worth $0.10 $$ $0.10$$ and the $250$ $250$ coins together are worth $39.25 $$ $39.25$$ . Therefore, we have the following equation:

$0.25 x + 0.1 (250 - x) = 39.25$ $0.25x+0.1(250-x)=39.25$
$\to 0.25 x + 25 - 0.1 x = 39.25$ $rarr 0.25x+25-0.1x=39.25$
$\to 0.25 x - 0.1 x = 39.25 - 25$ $rarr 0.25x-0.1x=39.25-25$
$\to (0.25 - 0.1) x = 14.25$ $rarr (0.25-0.1)x=14.25$
$\to x = \frac{14.25}{0.15} = 95$ $rarr x=14.25/0.15=95$
$\to 250 - x = 155$ $rarr 250-x=155$

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A coin bank has 250 coins, dimes and quarters, worth $39.25. How many of each type of coin are there?

1 Answer

Explanation:

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