I have $3.85 in my pocket in dimes and quarters only. I have three times as many dimes in my pocket as I do quarters. How many of each type of coin do I have?

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I have $3.85 in my pocket in dimes and quarters only. I have three times as many dimes in my pocket as I do quarters. How many of each type of coin do I have?

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Answer 1 · 2015-09-20T00:10:22

You have $21$ $21$ dimes and $7$ $7$ quarters.

Explanation:

Let $x$ $x$ be the number of quarters, and $3 x$ $3x$ the number of dimes.

The amount of money you have can be written as $0.25 x + 0.1 \cdot 3 x = 3.85$ $0.25x + 0.1*3x= 3.85$ .

Now isolate $x$ $x$ to find the number of quarters:
$0.25 x + 0.1 \cdot 3 x = 3.85$ $0.25x + 0.1*3x = 3.85$
$0.25 x + 0.3 x = 3.85$ $0.25x + 0.3x = 3.85$
$0.55 x = 3.85$ $0.55x = 3.85$
$x = \frac{3.85}{0.55} = 7 =$ $x = 3.85/0.55 = 7 =$ the number of quarters.

Then multiply by three to get the number of dimes: $7 \cdot 3 = 21$ $7*3 = 21$

$7 \cdot $ 0.25 + 21 \cdot $ 0.1 = $ 3.85$ $7*$0.25 + 21*$0.1 = $3.85$

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I have $3.85 in my pocket in dimes and quarters only. I have three times as many dimes in my pocket as I do quarters. How many of each type of coin do I have?

1 Answer

Explanation:

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