Question

A red candle is 11 2/5 inches tall. The label claims that the candle will melt 1 1/8 inch every hour it burns. If the label is correct, for how many hours will the candle burn?

Answer 1

$11\frac{2}{5}\ inches\ burn\ in\ x\ hours\\\\ 1\frac{1}{8}\ inches\ burn\ in\ 1\ hour\\\\cross\ multiplication\\\\ 11\frac{2}{5}=1\frac{1}{8}x\ \ \ \ | divide\ by\ 1\frac{1}{8}\\\\ \frac{\frac{57}{5}}{\frac{9}{8}}=x\\\\\frac{57}{5}*\frac{8}{9}=x\\\\ x=\frac{456}{45}=10\frac{2}{15}\\\\ Candle\ will\ burn\ in \ 10\frac{2}{15}\ hours.$