Math

Jessica is an avid reader. She bought a copy of the best seller book 'Math is Beautiful'. On the first day, Jessica read 1/5 of the pages plus 12 more, and on the second day she read 1/4 of the remaining pages plus 15 pages. On the third day, she read 1/3 of the remaining pages plus 18 pages. She then realized that there were only 62 pages left to read, which she read the next day. How many pages are in this book ?

A.120
B.180
C.240
D.300
E.360

  1. 👍
  2. 👎
  3. 👁
  1. There are 9 tried and true problem solving methods.
    If an algebraic solution perplexes you... perhaps a guess and check is a better "first" attempt.
    The question gives you choices for the answer...
    What if you start at the top with the a) 120 pages
    Then times it by 1/5 and add 12, then take that away from your 120
    So after the first day if you started with 120 pages you would have 120 - 36
    that is 84 pages on the start of day 2
    take 84 multiply by 1/4 and add 15 for the total pages read that day
    84 - 36 = 48
    So right away you know that 120 pages is TOO FEW because you are already down to 48 pages left to read, but the problem says you have 62 pages after the first day...
    Do you kinda see the "guess and check" method?
    Now you try b) 180 and see if you get 62 pages left after the last day of reading.

    1. 👍
    2. 👎
  2. X = Total pages.

    1st Day: x - x/5 -12 = 4x/5 - 12 remaining.

    2nd Day: (4x/5-12) - (4x/5-12)/4 - 15 = 4x/5-12 - x/5-3 - 15 = 3x/5 - 30 remaining.

    3rd Day: (3x/5-30) - (3x/5-30)/3 - 18 = 3x/5-30 - x/5 - 10 - 18 = 2x/5 - 58
    remaining.

    2x/5 - 58 = 62,
    X = 300 Pages.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. English

    Which option describes a reason that an author of a narrative might describe events out of the order in which they occurred? A. to create a mistake that the reader has to find and correct B. to confuse the reader by rearranging

  2. LA

    1.Which of the following is plot?(1 point) the sequence of events in a story a lesson the reader learns the author's purpose for writing a story a problem that a character must solve 2.Which word means “the time and place in

  3. Language Arts

    Which of the following sentences uses a predicate noun? A. Jessica's bike ride was uneventful. B. The owner of the bike is she. C. Jessica is the owner of the pink bike. D. Jessica's bike looks brand new. I've been researching

  4. Calc 3

    Jessica and Matthew are running toward the point P along the straight paths that make a fixed angle of θ (Figure 1). Suppose that Matthew runs with velocity va (m/s) and Jessica with velocity vb (m/s). Let f(x,y) be the distance

  1. I NEED ANSWERS PLEASE

    What number is 73% of 215? (1 point) 215 = 0.73n n = 0.73 × 215 0.73 = n × 215 215 = 73n 2. What percent of 94 is 23? (1 point) n/94 = 23/100 23/94 = n/100 94/n = 23/100 23/94 = 100/n 3. 80 is 40% of what number? (1 point) 200

  2. Algebra

    Chantel drew a picture of her dog on a piece of paper that is 12 centimeters long. She used a copy machine to enlarge her drawing. She used the 115% setting to make each new copy. She then used each new copy, using the same copier

  3. math

    A vegetable seller bought 4370 tomatoes. Out of those 242 were found rotten. Remaining tomatoes were packed equally in 43 baskets. Find the number of tomatoes in each basket.

  4. math

    Jessica had $15. She bought 3 apples for x dollars each. Levi had $27 and bought 5 apples for x dollars each. Which expression represents how much money both Jessica and Levi have left altogether? Select one: 27 – 5x 42 – 8x

  1. Math

    A pencil costs $3.50 and a pen costs $6.70. Jessica bought m pens. She also bought 4 fewer pencils than pens. Write an algebraic expression for the total amount she spent. The answer supposed to be 6.70m + 3.5 (m-4). I got

  2. math

    Amanda and Jessica bought vegetables for their newly opened restaurant. Amanda bought potatoes and onions. For every 18 pounds of potatoes that Amanda bought, she bought 4.5 pounds of onions. Jessica bought broccoli and onions.

  3. Math

    Jessica purchased a bag of cat food. She feeds her cat 1 cup of cat food each day. After 7 days, she has fed her cat 2/3 of the food in the bag. How many cups of food were in the bag of cat food when Jessica bought it?

  4. Math

    Miguel’s math book weighs more than 3.45 kilograms.Which could be the weight of his math book in kilograms?

You can view more similar questions or ask a new question.