Question

1. represents a table of equivalent ratios. fill in the missing values for the ratios shown in the table.

14
15 21
25 35
30 42

Explanation:

Step1: Find the ratio

The ratio of the given pair $15$ and $21$ is $\frac{15}{21}=\frac{5}{7}$.

Step2: Find the missing value for the first - row

Let the missing value for the first - row be $x$. Since the ratio is $\frac{5}{7}$, and the second - number is $14$, we have $\frac{x}{14}=\frac{5}{7}$. Cross - multiply: $7x = 14\times5$, so $x=\frac{14\times5}{7}=10$.

Step3: Check other rows

For the row with $25$ and $35$, $\frac{25}{35}=\frac{5}{7}$. For the row with $30$ and $42$, $\frac{30}{42}=\frac{5}{7}$.

Answer:

10