A student spent frac 1 5 of his allowances on b... - JAMB Mathematics 2009 Question
A student spent \(\frac{1}{5}\) of his allowances on books, \(\frac{1}{3}\) of the remainder on food and kept the rest for contingences. What fraction was kept?
A
\(\frac{7}{16}\)
B
\(\frac{8}{15}\)
C
\(\frac{2}{3}\)
D
\(\frac{4}{5}\)
correct option: b
Spent \(\frac{1}{5}\) on books remaining \(\frac{4}{5}\)
spent \(\frac{1}{3}\) of \(\frac{4}{5}\) on food
\(\frac{4}{5}\) x \(\frac{1}{3}\) = \(\frac{4}{15}\)
therefore, \(\frac{4}{5}\) - \(\frac{4}{15}\)
= \(\frac{12 - 4}{15}\)
= \(\frac{8}{15}\)
spent \(\frac{1}{3}\) of \(\frac{4}{5}\) on food
\(\frac{4}{5}\) x \(\frac{1}{3}\) = \(\frac{4}{15}\)
therefore, \(\frac{4}{5}\) - \(\frac{4}{15}\)
= \(\frac{12 - 4}{15}\)
= \(\frac{8}{15}\)
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