Question

1. complete the table of equivalent ratios.

herefords 15 9
holsteins 16 12 40

Explanation:

Step1: Find the ratio

First, find the ratio of Herefords to Holsteins using the known values (9 Herefords and 12 Holsteins). The ratio is $\frac{9}{12}=\frac{3}{4}$. So the ratio of Herefords to Holsteins is $3:4$.

Step2: Calculate missing Holsteins for 15 Herefords

Let the number of Holsteins be $x$. Using the ratio $\frac{15}{x}=\frac{3}{4}$. Cross - multiply: $3x = 15\times4=60$. Then $x=\frac{60}{3}=20$.

Step3: Calculate missing Herefords for 16 Holsteins

Let the number of Herefords be $y$. Using the ratio $\frac{y}{16}=\frac{3}{4}$. Cross - multiply: $4y=16\times3 = 48$. Then $y = \frac{48}{4}=12$.

Step4: Calculate missing Herefords for 40 Holsteins

Let the number of Herefords be $z$. Using the ratio $\frac{z}{40}=\frac{3}{4}$. Cross - multiply: $4z = 40\times3=120$. Then $z=\frac{120}{4}=30$.

The completed table (row - wise for Herefords and Holsteins) is:

Herefords	15	12	9	30

Answer:

The completed table has Herefords values (from left to right) 15, 12, 9, 30 and Holsteins values (from left to right) 20, 16, 12, 40.