ExplanationUse the overlapping sets formula for two groups: Total = Group 1 + Group 2 – Both + Neither.

But first, add 740 (“business use” only) + 520 (“business use” and “personal use”) to get 1,260, the total number of products categorized as “business use.”

Also note that the problem indicates that all of the products fall into one or both of the two categories, so “neither” in this formula is equal to zero:

Total = Business + Personal – Both + Neither

1,345 = 1,260 + P – 520 + 0

1,345 = 740 + P

605 = P

Quantity A is greater. Note that the question asked for the number of products characterized as “personal use” (which includes products in the “both” group). If the problem had asked for the number of products characterized as “personal use” only, you would have had to subtract the “both” group to get 605 – 520 = 85. In this problem, however, Quantity A equals 605.

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Sandy

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