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Kamau spend $\frac{3}{5}$ of his money on buying food and $\frac{1}{2}$ of what was left on rent. After that, he finds that he has sh 1 400 left in his pocket. Determine the amount spent on buying food.

Kamau spend $\frac{3}{5}$ of his money on buying food and $\frac{1}{2}$ of what was left on rent. After that, he finds that he has sh 1 400 left in his pocket. Determine the amount spent on buying food.

Answers

Let the total money be sh y

Food = $\frac{3}{5}$; Rent = $\frac{1}{2}\times \; \frac{2}{5}$ = $\frac{1}{5}$

Balance = 1 - ($\frac{3}{5} + \frac{1}{5}$) = $\frac{1}{5}$

$\frac{1}{5}$ x y = 1 400

$\frac{3}{5}$ x y = food

Food x $\frac{y}{5} = \frac{3y}{5}$ x 1 400

Food = $\frac{5}{y}\; \times \frac{3y}{5}\times 1 400$

= 1 400 x 3 = sh 4 200

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johnmulu answered the question on March 9, 2017 at 06:20

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