Question

There are four types of fruits available at the shop, as represented in the pie chart.
Alice bought $\frac{3}{4}$ of the apples available. What fraction of the total fruits are available at the shop now?

• A. $\frac{16}{20}$
• B. $\frac{17}{20}$
• C. $\frac{10}{30}$
• D. $\frac{17}{10}$

Answer 1

The correct option is B $\frac{17}{20}$

Color representing apples $=$ Red
Number of sections colored red $=3+1=4$
Fraction of apples Alice bought $=\frac{3}{4}$
Number sections representing apples = 4
Number of sections representing apples bought
$=\frac{3}{4}$ of number of sections representing total apples
$=\frac{3}{4}\times \frac{4}{1}=\frac{3\times 4}{4\times 1}=\frac{12}{4}=3$
Total number of sections in the pie chart $=20$
Number of sections in the pie chart representing the remaining fruits
$=$Total sections $-$ Sections representing bought fruit
$=20-3=17$
Fraction of total fruits available after buying $=\frac{17}{20}$