Turner Textiles sells 250 heavy-duty fabrics and 100 fabrics that are

Question

McGraw-Hill

Turner Textiles sells 250 heavy-duty fabrics and 100 fabrics that are waterproofed.

In the table, select two numbers among the numbers listed that are consistent with the information given. In the first column, select the largest number of fabrics sold by Turner that could possibly be both heavy duty and waterproofed, and in the second column, select the largest number of fabrics sold by Turner that could possibly be either heavy duty or waterproofed. Select only one option in each column.

priyanshii26 · Answer

Sajjad1994  how 260 can be the answer of 2nd part when largest heavy-duty fabrics is 250 given.

ferfer · Answer

90 because only 100 can be waterproof and 260 because only 350 could be either of those fabrics?

Sajjad1994 · Answer

Official Explanation

The correct answers are 90 fabrics that are both heavy duty and waterproofed, and 260 fabrics that are either heavy duty or waterproofed.

There are 250 heavy-duty fabrics and 100 fabrics that are waterproofed. If all of the waterproofed fabrics were also heavy duty, there would be 100 fabrics that are both heavy duty and waterproofed. This is the largest number of fabrics that could possibly be both heavy duty and waterproofed. The number 100 is not listed in the table, however, and 150 is too large. So of the numbers listed in the table, the largest number of Turner fabrics that could possibly be both heavy duty and waterproofed is 90.

The total number of fabrics that are either heavy duty or waterproofed is 250 + 100, or 350. The largest number listed in the table is 375, but this number exceeds 350. The next largest number is 260. Of the numbers listed in the table, the largest number of fabrics that could possibly be either heavy duty or waterproofed is 260.

Gemmie · Answer

250 Heavy
100 Waterproofed

Largest number could be both
=> maximum 100
=> From the answer choices: 90

Largest number could be either
=> when the number of the both heavy and waterpoof is smallest, which is 0
=> largest number could be either is maximum 350 (250 + 100)
=> From the answer choices: 260

GermanGil · Answer

Phew, interesting question and thanks to  Gemmie . I didn't think of it myself

Purnank · Answer

Overlapping set logic,
n(A) + n(B) = n(A∩B) + n(AUB)
n(A) = 250 and n(B) = 100
now, n(A∩B) + n(AUB) = 350 for n(A∩B) pick value from table and calculate other,
But remember n(A∩B) <= 100 as n(B) is 100
put and check pair of 90 and 260 will satisfy the condition.

tomloveless · Answer

Can this be done with a double matrix?

Bunuel · Answer

This question is so bad... Archiving it.

Turner Textiles sells 250 heavy-duty fabrics and 100 fabrics that are

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