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.How many cosmetic products did not have FDA approval?a)10b)60c)50d)Cannot be determinedCorrect answer is option 'B'. 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. How many cosmetic products did not have FDA approval?

a)
10
b)
60
c)
50
d)
Cannot be determined

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

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

Given that there are 320 products in total, let's denote:
C = number of cosmetic products
N = number of nutrition products
F = number of foreign products
D = number of domestic products
A = number of products with approval

We know that each product is either a cosmetic or a nutrition product, so C + N = 320.

We also know that each product is either a foreign or a domestic product, so F + D = 320.

Finally, we know that each product has at least one approval, so A = 320.

From the given information, we can deduce:
C + N = 320 (1)
F + D = 320 (2)
A = 320 (3)

Since we don't have any other information, we cannot determine the exact values of C, N, F, or D. We can only say that the sum of any two of these variables is 320.

For example, if all cosmetic products are foreign and all nutrition products are domestic, then we have:
C = 320, N = 0, F = 320, D = 0
However, there are many other possible combinations that satisfy the given conditions.

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.How many cosmetic products did not have FDA approval?a)10b)60c)50d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?

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