Question

A livestock vaccine is to be given at the rate of 2 milliliters for each 13 pounds of body weight. How much should be given to a 78-pound goat?

1) 8 milliliters
2) 10 milliliters
3) 14 milliliters
4) 12 milliliters

Answer 1

To calculate the amount of vaccine to give to a goat weighing 78 pounds, use a ratio of body weight to vaccine amount. Applying this ratio yields an answer of 12 milliliters.

Step-by-step explanation:

If a livestock vaccine is administered at the rate of 2 milliliters for every 13 pounds of body weight, we first need to figure out how many 13-pound units are in a 78-pound goat to calculate the correct amount of vaccine.

To determine this, divide the goat's weight by 13:

78 ÷ 13 = 6.

So, there are 6 units of 13 pounds in 78 pounds. Next, since each unit requires 2 milliliters of vaccine, multiply the number of units by 2 milliliters:

6 × 2 milliliters = 12 milliliters.

Therefore, a 78-pound goat should be given 12 milliliters of the vaccine.