BECE Mathematics 2015 Paper

Concept:The total money spent is the sum of all fractions, which equals $1$ (the whole).To find the fraction spent on gari, subtract the sum of the known spent fractions from $1$.Explanation:Add the fractions spent on sweets and provisions.$\frac{1}{5} + \frac{4}{7} = \frac{7 \times 1 + 5 \times 4}{35} = \frac{7 + 20}{35} = \frac{27}{35}$So Abena spent $\frac{27}{35}$ of her money on sweets and provisions together.The rest was spent on gari, so subtract this sum from $1$.Write $1$ as $\frac{1}{1}$.Then, fraction spent on gari $= 1 - \frac{27}{35} = \frac{1}{1} - \frac{27}{35} = \frac{35 \times 1 - 1 \times 27}{35} = \frac{35 - 27}{35} = \frac{8}{35}$Therefore, Abena spent $\frac{8}{35}$ of her money on gari.Answer:$\frac{8}{35}$Option C.