400-600-1123
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="font-size: 14px;">Arithmetic Operations with Integers; Order
Let B1, B2, and B3 be the prices, in dollars and in numerical order, of the 3 books. Thus, B1
≤ B2 ≤ B3. Determine whether B1 + B2 + B3 < 48.
1. Given that B3 < 17, it is possible that B1 + B2 + B3 < 48 (choose B1 = B2 = 15 and B3 =16) and it is possible that B1 + B2 + B3 > 48 (choose B1 = B2 = 16 and B3 = 16.5); NOT sufficient.
2. Given that B1 = B2 – 3, it is possible that B1 + B2 + B3 < 48 (choose B1 = 3, B2 = 6, and B3 = 10) and it is possible that B1 + B2 + B3 > 48 (choose B1 = 3, B2 = 6, and B3 = 48); NOT sufficient.
Taking (1) and (2) together, from (1) and the information given it follows that B3 < 17 and B2 ≤ B3 < 17, or B2 < 17. Also, from B2 < 17 and (2), it follows that B1 < 17 – 3, or B1 < 14. Therefore, B1 + B2 + B3 is the sum of 3 numbers—a number less than 14, a number less than 17, and a number less than 17—and thus B1 + B2 + B3 < 14 + 17 + 17 = 48.
The correct answer is C;
both statements together are sufficient.
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