An algebra problem by A Former Brilliant Member

Algebra Level 3

A boy has a total of $6 in quarters and dimes. If his dimes were quarters and his quarters were dimes, then he should have $4.5. How many quarters and dimes does the boy have?

Note: 1 dime = 10 cents; 1 quarter = 25 cents

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A Former Brilliant Member by A Former Brilliant Member

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1 solution

I found my answer by a little trial and error. Works for this small problem, not for larger problems of course.

One note to the maker: not every non english speaker knows what the value of a dime is.

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You don't need to solve the problem by trial-and-error. Let x x denote the number of quarters and y y denote the number of dimes. According to the information, what equations do you have?

Michael Huang - 4 years, 5 months ago

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Wel I know I can use equations. I just chose not to use them.

Peter van der Linden - 4 years, 5 months ago

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Ah. Then, it seems that you want to find some efficient method.

Michael Huang - 4 years, 5 months ago

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