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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?

Respuesta :

MrRoyal

Answer:

[tex]Goat = 2080IU[/tex]

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;

[tex]Cow:Goat = 3 : 4[/tex]

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

[tex]Cow:Goat = 3 : 4[/tex]

[tex]1560:Goat = 3 : 4[/tex]

Convert  to fraction

[tex]\frac{1560}{Goat} = \frac{3}{4}[/tex]

Multiply both sides by 4

[tex]4 * \frac{1560}{Goat} = \frac{3}{4} * 4[/tex]

[tex]\frac{4 * 1560}{Goat} = \frac{ 4 * 3}{4}[/tex]

[tex]\frac{6240}{Goat} = 3[/tex]

Multiply both sides by Goat

[tex]Goat * \frac{6240}{Goat} = 3 * Goat[/tex]

[tex]6240 = 3 * Goat[/tex]

Divide both sides by 3

[tex]\frac{6240}{3} = \frac{3 * Goat}{3}[/tex]

[tex]\frac{6240}{3} = \frac{3 * Goat}{3}[/tex]

[tex]2080 = Goat[/tex]

[tex]Goat = 2080[/tex]

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