Fractions Day 6 Presentation Problems 1. Evelyn read 25 pages of a book on Friday morning. She read ¼ of the remainder on Friday afternoon. If she still had 90 pages to read after Friday afternoon, how many pages were in the book? Fri. morn. Fri. afternoon Evelyn’s pages 3 units = 90 90 3 = 30 1 unit = 30 25 30 30 30 4 units of 30 4 • 30 = 120 120 + 25 = 145 30 = ? (145) 90 There are 145 pages in Evelyn’s book. 2. Chris typed 315 words of his essay on Monday evening. He typed 1/3 of the remainder on Tuesday evening. If Chris still had 460 words to type on Wednesday evening, how many words were in his essay? Mon. Chris’s essay 2 units = 460 460 2 = 230 1 unit = 230 Tues. 315 Wed. 230 Wed. 230 3 units of 230 3 • 230 = 690 230 = ? (1005) 460 690 + 315 = 1005 There were 1005 words in Chris’s essay. Milk it! Ask how Chris typed on Tuesday and Wednesday. 3. Marcia makes jewelry to sell at flea markets. Last weekend, Marcia sold 52 pieces of jewelry on Saturday. She sold 3/5 of the remaining pieces of jewelry on Sunday. If she took home 44 pieces of jewelry, how much jewelry did Marcia bring to the flea market? Sat. Marcia’s jewelry sales 2 units = 44 44 2 = 22 1 unit = 22 Sun. Sun. Sun. 22 22 22 52 5 units of 22 5 • 22 = 110 Remaining 22 22 = ? (162) 44 110 + 52 = 162 Marcia brought 162 pieces of jewelry to the flea market. Fractions Day 6 Assessment Problems 1. James read 48 pages of a book on Tuesday. He read 1/5 of the remaining pages on Wednesday. If he still had 148 pages left to read after Wednesday, how many pages were in his book? James’s pages 4 units = 148 148 4 = 37 1 unit = 37 Tues . Wed. 48 37 37 37 37 37 = ? (233) 148 5 units of 37 5 • 37 = 185 185 + 48 = 233 There were 233 pages in James’s book. 2. Bridget spent 12 minutes at the gym doing warm-up exercises. Of her remaining time at the gym, she spent ¾ of it jogging on a treadmill. After that, she still had 8 minutes to do cool-down exercises before she left. How long was Bridget at the gym? Warm up Bridget’s time at gym 4 units of 8 4 • 8 = 32 12 32 + 12 = 44 Cool down 8 8 Treadmill Bridget was at the gym for 44 minutes. 8 8 = ? (44)