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

Answer:

$Goat = 2080IU$

Step-by-step 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

$\frac{1560}{Goat} = \frac{3}{4}$

Multiply both sides by 4

$4 * \frac{1560}{Goat} = \frac{3}{4} * 4$

$\frac{4 * 1560}{Goat} = \frac{ 4 * 3}{4}$

$\frac{6240}{Goat} = 3$

Multiply both sides by Goat

$Goat * \frac{6240}{Goat} = 3 * Goat$

$6240 = 3 * Goat$

Divide both sides by 3

$\frac{6240}{3} = \frac{3 * Goat}{3}$

$\frac{6240}{3} = \frac{3 * Goat}{3}$

$2080 = Goat$

$Goat = 2080$