Question

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, start text, I, U, end text, right parenthesis of vitamin A, how many \text{IU}IUstart text, I, U, end text of vitamin A are in a liter of goat milk?

Answer 1

`Goat = 2080IU`

Explanation:

Given

Ratio = 3 : 4

Litre of cow = 1560IU

Required

IU of a litre of goat

The ratio represents ratio of cow milk to goat milk

In other words;

`Cow:Goat = 3 : 4`

To calculate the number of IU in a litre of goat milk; we substitute Cow with 1650 in the above expression

`Cow:Goat = 3 : 4`

`1560:Goat = 3 : 4`

Convert to fraction

`(1560)/(Goat) = (3)/(4)`

Multiply both sides by 4

`4 * (1560)/(Goat) = (3)/(4) * 4`

`(4 * 1560)/(Goat) = ( 4 * 3)/(4)`

`(6240)/(Goat) = 3`

Multiply both sides by Goat

`Goat * (6240)/(Goat) = 3 * Goat`

`6240 = 3 * Goat`

Divide both sides by 3

`(6240)/(3) = (3 * Goat)/(3)`

`(6240)/(3) = (3 * Goat)/(3)`

`2080 = Goat`

`Goat = 2080`