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The product of positive integers b and c is 60. If b is doub
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02 Oct 2017, 22:27
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Question Stats:
72% (00:52) correct
27% (02:43) wrong based on 29 sessions
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The product of positive integers b and c is 60. If b is doubled, then c must decrease by what percent so that the product of the two will still equal 60?
Re: The product of positive integers b and c is 60. If b is doub
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03 Oct 2017, 02:49
We know that \(bc = 60\), thus if b is doubled, we get \(2bc' = 60\), where c' is the new value of c. It is easy to see that \(c' = \frac{c}{2}\) in order to keep the product equal to 60. The percentage decrease is computed as \(\frac{\frac{c}{2}-c}{c}*100 = 50%\).