This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here's the solution for question 1b. Let P be the total number of pages in the book. Step 1: Calculate the fraction of pages Bari read on Monday. Bari read (2)/(5) of the pages on Monday. Pages read on Monday = (2)/(5) P Step 2: Calculate the fraction of pages remaining after Monday. Remaining pages after Monday = P - (2)/(5) P = (1 - (2)/(5)) P = (3)/(5) P Step 3: Calculate the fraction of pages Bari read on Tuesday. On Tuesday, Bari read (2)/(3) of the remaining pages. Pages read on Tuesday = (2)/(3) × ((3)/(5) P) = (2 × 3)/(3 × 5) P = (6)/(15) P = (2)/(5) P Step 4: Calculate the total fraction of pages read on Monday and Tuesday. Total fraction read = Fraction read on Monday + Fraction read on Tuesday Total fraction read = (2)/(5) P + (2)/(5) P = (4)/(5) P Step 5: Calculate the fraction of pages remaining after Tuesday. Fraction remaining = P - (4)/(5) P = (1 - (4)/(5)) P = (1)/(5) P Step 6: Use the given number of remaining pages to find the total number of pages. We are told that 11 pages are remaining. (1)/(5) P = 11 To find P, multiply both sides by 5: P = 11 × 5 P = 55 There are 55 pages in the book. Last free one today — make it count tomorrow, or type /upgrade for unlimited.