Mathematics, 13.02.2022 14:00 gabbym39077
Lunasa, Merlin, and Lyrica each has an instrument. We know the following about the prices of their instruments:
(a) If we raise the price of Lunasa's violin by 50% and decrease the price of Merlin's trumpet by 50%, the violin will be $50 more expensive than the trumpet;
(b) If we raise the price of Merlin's trumpet by 50% and decrease the price of Lyrica's piano by 50%, the trumpet will be $50 more expensive than the piano.
Given these conditions only, there exist integers m and n such that if we raise the price of Lunasa's violin by $m\%$ and decrease the price of Lyrica's piano by $m\%$, the violin must be exactly $\$n$ more expensive than the piano. Find $100m+n$.
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Lunasa, Merlin, and Lyrica each has an instrument. We know the following about the prices of their i...
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