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
\(\frac{4}{5}\)
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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})
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