Answer:
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
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