Alexia, Bob, and Comelia recorded the number of pages of books they read last month. Alexia read 135 pages, Bob read 26 pages less than Alexia, and Comelia read 3 and one-half × more pages than Alexia and Bob combined. Which of the following represents the total number of pages that Alexia, Bob, and Comelia read last month?
4.5[2(135) - 26] is the correct expression representing the total number of pages that Alexia, Bob, and Comelia read last month.
This expression correctly accounts for the number of pages read by each individual, as specified in the question. Alexia read 135 pages, Bob read 26 less than Alexia, and Comelia read 3.5 times the combined pages read by Alexia and Bob. To find the total pages read by all, we add the pages read by Comelia, which is 4.5 times the combined pages of Alexia and Bob.
This choice incorrectly assumes that Comelia read 3.5 times the sum of Alexia's pages and 26. However, according to the question, Comelia read 3.5 times more than the combined pages of Alexia and Bob (who read 26 pages less than Alexia).
This choice incorrectly uses 3.5 as the multiplier for the combined pages of Alexia and Bob. According to the question, Comelia read 3.5 times more than the combined total of Alexia and Bob, making the correct multiplier 4.5.
This is the correct answer. The expression accurately represents the total pages read by all three individuals. It correctly uses 4.5 as the multiplier for the combined pages of Alexia and Bob, as Comelia read 3.5 times more than the combined total of Alexia and Bob.
This choice incorrectly adds 26 to the total pages read by Alexia and Bob instead of subtracting it. According to the question, Bob read 26 pages less than Alexia, not more.
The correct expression for the total number of pages read by Alexia, Bob, and Comelia is 4.5[2(135) - 26]. This expression correctly factors in the pages read by each individual and their relationships to each other, as stated in the question: Alexia read 135 pages, Bob read 26 less than Alexia, and Comelia read 3.5 times more than the combined total of Alexia and Bob.
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