Question

1. given the ratio table, fill in the missing values to maintain the proportional relationship between the number of apples (column a) and the number of oranges (column b).

apples to oranges
4 12
8 □
30
20

Explanation:

Step1: Find the ratio constant

The ratio of oranges to apples is $\frac{12}{4}=3$. This means for every 1 apple, there are 3 oranges.

Step2: Calculate missing oranges for 8 apples

Multiply the number of apples by the ratio constant.
$8 \times 3 = 24$

Step3: Calculate missing apples for 30 oranges

Divide the number of oranges by the ratio constant.
$\frac{30}{3}=10$

Step4: Calculate missing oranges for 20 apples

Multiply the number of apples by the ratio constant.
$20 \times 3 = 60$

Answer:

• For 8 apples: 24 oranges
• For 30 oranges: 10 apples
• For 20 apples: 60 oranges

Completed table values:

Apples	Oranges
8	24
10	30
20	60