The pie chart shows the distribution of fruits in a shop. The angles corresponding to Apple, Banana, Pawpaw, and Orange are $80^\circ$, $60^\circ$, $100^\circ$, and $120^\circ$, respectively. If there are 60 apples, we need to find the number of oranges.

1. Problem Description

The pie chart shows the distribution of fruits in a shop. The angles corresponding to Apple, Banana, Pawpaw, and Orange are $80^\circ$, $60^\circ$, $100^\circ$, and $120^\circ$, respectively. If there are 60 apples, we need to find the number of oranges.

2. Solution Steps

First, we need to find the angle corresponding to the number of oranges. From the pie chart, the angle corresponding to oranges is $120^{\circ}$. The total angle in a pie chart is $360^{\circ}$.

We know that there are 60 apples, and the angle corresponding to apples is $80^\circ$.

Let $x$ be the total number of fruits. Then we can set up a proportion:

$\frac{\text{Number of apples}}{\text{Total number of fruits}} = \frac{\text{Angle of apples}}{\text{Total angle}}$

$\frac{60}{x} = \frac{80}{360}$

$x = \frac{60 \times 360}{80} = \frac{60 \times 9}{2} = 30 \times 9 = 270$

So, the total number of fruits is

2

7

0.

Now, let $n$ be the number of oranges. We can set up another proportion:

$\frac{\text{Number of oranges}}{\text{Total number of fruits}} = \frac{\text{Angle of oranges}}{\text{Total angle}}$

$\frac{n}{270} = \frac{120}{360}$

$n = \frac{120 \times 270}{360} = \frac{120 \times 270}{3 \times 120} = \frac{270}{3} = 90$

Therefore, the number of oranges is

9

0.

3. Final Answer

D. 90