A speciality supermarket sells 320 products. Each of these products was either a cosmetic product or a nutrition product. Each of these products was also either a foreign product or a domestic product. Each of these products had at least one of the two approvals andndash; FDA or EU.The following facts are also known: There were equal numbers of domestic and foreign products. Half of the domestic products were FDA approved cosmetic products. None of the foreign products had both the approvals, while 60 domestic products had both the approvals. There were 140 nutrition products, half of them were foreign products. There were 200 FDA approved products. 70 of them were foreign products and 120 of them were cosmetic products.Q.If 70 cosmetic products did not have EU approval, then how many nutrition products had both the approvals?a)10b)20c)30d)50Correct answer is option 'A'. Can you explain this answer?

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There were equal numbers of domestic and foreign products.
Half of the domestic products were FDA approved cosmetic products.
None of the foreign products had both the approvals, while 60 domestic products had both the approvals.
There were 140 nutrition products, half of them were foreign products.
There were 200 FDA approved products. 70 of them were foreign products and 120 of them were cosmetic products.

Q. If 70 cosmetic products did not have EU approval, then how many nutrition products had both the approvals?

a)
10
b)
20
c)
30
d)
50

Correct answer is option 'A'. Can you explain this answer?

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A speciality supermarket sells 320 products. Each of these products wa...

, either a cosmetic approval or a nutrition approval. If 180 products had a cosmetic approval and 200 products had a nutrition approval, how many products had both approvals?

Let's assume that the number of products with both approvals is x.

According to the given information, the number of products with only a cosmetic approval is 180 - x.
Similarly, the number of products with only a nutrition approval is 200 - x.

We can now use the principle of inclusion-exclusion to find the total number of products with at least one approval:

Number of products with at least one approval = Number of products with a cosmetic approval + Number of products with a nutrition approval - Number of products with both approvals

320 = (180 - x) + (200 - x) - x

Now, let's solve this equation to find the value of x:

320 = 180 + 200 - 2x - x
320 = 380 - 3x
3x = 380 - 320
3x = 60
x = 60/3
x = 20

Therefore, there are 20 products that have both cosmetic and nutrition approvals.

Answered by Wizius Careers · View profile

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A speciality supermarket sells 320 products. Each of these products was either a cosmetic product or a nutrition product. Each of these products was also either a foreign product or a domestic product. Each of these products had at least one of the two approvals – FDA or EU.The following facts are also known: There were equal numbers of domestic and foreign products. Half of the domestic products were FDA approved cosmetic products. None of the foreign products had both the approvals, while 60 domestic products had both the approvals. There were 140 nutrition products, half of them were foreign products. There were 200 FDA approved products. 70 of them were foreign products and 120 of them were cosmetic products.Q.If 50 nutrition products did not have EU approval, then how many domestic cosmetic products did not have EU approval? Correct answer is '50'. Can you explain this answer?

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A speciality supermarket sells 320 products. Each of these products was either a cosmetic product or a nutrition product. Each of these products was also either a foreign product or a domestic product. Each of these products had at least one of the two approvals – FDA or EU.The following facts are also known: There were equal numbers of domestic and foreign products. Half of the domestic products were FDA approved cosmetic products. None of the foreign products had both the approvals, while 60 domestic products had both the approvals. There were 140 nutrition products, half of them were foreign products. There were 200 FDA approved products. 70 of them were foreign products and 120 of them were cosmetic products.Q.If 70 cosmetic products did not have EU approval, then how many nutrition products had both the approvals?a)10b)20c)30d)50Correct answer is option 'A'. Can you explain this answer?

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