The ratio of the amount of vitamin A in cow milk to the amount of vitamin A in goat milk is 3 to 4. If a liter of cow milk has 1560 international units (IU) of vitamin, how many IU of vitamin A are in a liter of goat milk?

Hello keniacastromora! This problem can be setup as a proportion.

We have a ratio of 3/4. The cow's milk is the 3 and the goat milk is the 4. They want to know how many IU of vitamin A are in a liter of goat milk. Since we know the ratio is 3/4 and that a liter of cow's milk has 1560 UI we can set this up as a proportion and solve.

[tex] \frac{3}{4} = \frac{1560}{x}[/tex]
Now solve for x by first cross multiplying 1560 * 4 = 6240

Next divide 6240 by 3 6240 / 3 = 2080
So x = 2080 and our proportion looks like the following
[tex] \frac{3}{4} = \frac{1560}{2080}[/tex]

So there are 2080 UI of vitamin A in a liter of goat milk when a liter of cow milk has 1560 UI of vitamin A