The ratio of the amount of vitamin A in cow milk to the amount of vitamin A in goat milk is 3
33 to
4
44. If a liter of cow milk has
1560
15601560 international units
(
IU
)
(IU)left parenthesis, start text, I, U, end text, right parenthesis of vitamin A, how many
IU
IUstart text, I, U, end text of vitamin A are in a liter of goat milk?

2080 IU

Explanation:

Given

Ratio of vitamin A in cow milk to goat milk = 3 : 4

Required

Determine the content of vitamin A in goat milk if cow milk has 1560 IU

The given parameters shows a direct proportion.

Let G represents Goat and C represent Cow

Given that there exists a direct proportion;

C = K * G where K represents the constant of proportionality.

Solving for K when C = 3 and G = 4

C = K * G becomes

3 = K * 4

3 = 4K

Divide through by 4

¾ = K

K = ¾

Now, solving for G given that C = 1560IU;

We'll make use of the same formula as above

C = K * G

Substitute 1560 for C and ¾ for K; the expression becomes

1560 = ¾ * G

Multiply both sides by 4

4 * 1560 = 4 * ¾ * G

6240 = 3 * G

Multiply both sides by ⅓

⅓ * 6240 = ⅓ * 3 * G

2080 = G

G = 2080

Hence, the vitamin A in the goat milk is 2080IU