The ratio of the amount of vitamin A in cow milk to the amount of vitamin A in goat milk is 333 to 444. If a liter of cow milk has 156015601560 international units (\text{IU})(IU)left parenthesis, I, U, right parenthesis of vitamin A, how many \text{IU}IUI, U of vitamin A are in a liter of goat milk?The ratio of the amount of vitamin A in cow milk to the amount of vitamin A in goat milk is 333 to 444. If a liter of cow milk has 156015601560 international units (\text{IU})(IU)left parenthesis, I, U, right parenthesis of vitamin A, how many \text{IU}IUI, U of vitamin A are in a liter of goat milk?

Respuesta :

The amount of vitamin A in a liter of goat milk will be 2080 IU.

Explanation

The ratio of the amount of vitamin A in cow milk to the amount of vitamin A in goat milk is  [tex]3:4[/tex]

So lets assume, the amount of vitamin A in a liter of cow milk is [tex]3x[/tex] and [tex]4x[/tex]

Given that, a liter of cow milk has 1560 IU of vitamin A. That means.......

[tex]3x=1560\\ \\ x=\frac{1560}{3}=520[/tex]

So, the amount of vitamin A in a liter of goat milk will be:  [tex]4x=4*520=2080[/tex] IU.