Azile

Azile had R150 (South African Rand - currency/money - code ZAR). He spent 2/5 of the money on a shirt, and then he spent 2/3 of the money that was left to buy a cap.
a) How much did the shirt cost?
b)How much did he have left after buying the shirt?
c) How much did the cap cost?
d) What fraction of money did he have left after buying the cap and the shirt?

Correct answer:

a =  60 R
b =  90 R
c =  60 R
d =  1/5

Step-by-step explanation:

$$\begin{gathered} t=150\text{R} \\ a=\frac{2}{5}\cdot t=\frac{2}{5}\cdot 150=\frac{2\cdot 150}{5}=\frac{300}{5}=60\text{R} \end{gathered}$$

$b=t-a=150-60=90\text{R}$

$c=\frac{2}{3}\cdot b=\frac{2}{3}\cdot 90=\frac{2\cdot 90}{3}=\frac{180}{3}=60\text{R}$

$d=\frac{t-a-c}{t}=\frac{150-60-60}{150}=\frac{1}{5}=0.2$

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