Question

1. complete the table of equivalent ratios.

columbia	40		25	15

Explanation:

Step1: Find the base ratio

We use the known pair (15,12). The ratio is $\frac{\text{Columbia}}{\text{North Face}}=\frac{15}{12}=\frac{5}{4}$.

Step2: Solve for first empty North Face value

Use ratio $\frac{5}{4}=\frac{40}{x}$. Rearrange: $x = 40\times\frac{4}{5}=32$.

Step3: Solve for empty Columbia value

Use ratio $\frac{5}{4}=\frac{y}{48}$. Rearrange: $y = 48\times\frac{5}{4}=60$.

Step4: Solve for last empty North Face value

Use ratio $\frac{5}{4}=\frac{25}{z}$. Rearrange: $z =25\times\frac{4}{5}=20$.

Answer:

Columbia	40	60	25	15