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?

Layton Park

Layton Park

Answered question

2022-11-10

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?

Answer & Explanation

fonfonvkdpf

fonfonvkdpf

Beginner2022-11-11Added 13 answers

Let x be the number of quarters, and 3x the number of dimes.
The amount of money you have can be written as 0.25 x + 0.1 3 x = 3.85
Now isolate x to find the number of quarters:
0.25x+0.1⋅3x=3.85
0.25x+0.3x=3.85
0.55x=3.85
x = 3.85 0.55 = 7 = the number of quarters.
Then multiply by three to get the number of dimes: 7 3 = 21
7 $ 0.25 + 21 $ 0.1 = $ 3.85

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