Question

There are four types of fruits available at the shop, as represented in the pie chart.
Thomas bought $\frac{3}{5}$ of the banana available. What fraction of the total fruits are available at the shop now?

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

Answer 1

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

Color representing banana = yellow

Number of divisions colored yellow = $5$

Fraction of bananas Thomas bought $=\frac{3}{5}$

Total number of divisions in the pie chart = $20$

Number divisions representing bananas = $5$

Fraction representing total bananas $=\frac{5}{20}$

Number of bananas bought

$=\frac{3}{5}$ of fraction of total bananas

$=\frac{3}{5}\times \frac{5}{20}=\frac{3\times 5}{5\times 20}=\frac{15}{100}=\frac{3}{20}$

= Total
− Fraction representing bought fruit

$=\frac{20}{20}-\frac{3}{20}=\frac{17}{20}$

Fraction of total fruits available after buying the given $\frac{3}{5}$th of banana $=\frac{17}{20}$