Question

5 the graph shows the number of books that four students read during a reading contest.
(a) which student read exactly 4 times as many fiction books as nonfiction books?
(b) all together, how many more fiction books than nonfiction books did the four students read?
(the chart on the right shows the number of books for each student (alonzo, deon, matt, colby) in fiction (light color) and nonfiction (dark color) categories, with the y - axis labeled number of books from 0 to 24.)

Explanation:

Part A:

Step 1: Analyze each student's fiction and non - fiction books

• Alonzo: Fiction = 24, Non - fiction = 4. Check if \(24=4\times6\) (not 4 times).
• Deon: Fiction = 22, Non - fiction = 12. Check if \(22 = 12\times4\) (no).
• Matt: Fiction = 6, Non - fiction = 24. Check if \(6=24\times\frac{1}{4}\) (not 4 times).
• Colby: Fiction = 16, Non - fiction = 4. Check if \(16 = 4\times4\). Since \(4\times4 = 16\), Colby's fiction books are 4 times his non - fiction books.

Step 1: Calculate total fiction books

Sum of fiction books: Alonzo (24) + Deon (22) + Matt (6) + Colby (16) = \(24 + 22+6 + 16=68\)

Step 2: Calculate total non - fiction books

Sum of non - fiction books: Alonzo (4) + Deon (12) + Matt (24) + Colby (4) = \(4 + 12+24 + 4 = 44\)

Step 3: Find the difference

Subtract total non - fiction from total fiction: \(68-44 = 24\)

Answer:

Colby

Part B: