Algebra

Randy, Sam, Tim and Will counted the number of puzzles they had solved in two months. Sam has solved twelve more than Tim. Randy had solved seventeen less than Sam.Will had solved twice as many as Randy. They have solved a total of 267 problems. How many puzzles did each person solve?

  1. 👍 0
  2. 👎 0
  3. 👁 323
  1. Tim: X Puzzles.
    Sam: X + 12.
    Randy: (x + 12) - 17
    Will: 2((x + 12) - 17).

    x+(x+12)+((x+12)-17)+2((X+12)-17)= 267,
    X+X+12+X+12-17+2X+24-34 = 267,
    5X - 3 = 267
    5X = 270

    X = 54
    X + 12 = 66
    ((X + 12) - 17) = 49
    2((X + 12) - 17) = 98.

    TOTAL = 54 + 66 + 49 + 98 = 267.

    1. 👍 0
    2. 👎 0
  2. Thank You Henry

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math-PLEASE check my answers

    What types of problems can be solved using the greatest common factor? What types of problems can be solved using the least common multiple? Complete the explanation. *** Use the words 'same' and 'different' to complete the

  2. ASVAB Arithmetic

    In Tim's last 5 games here's the number of three-point field goals scored per game. 9 6 0 9 3 How many three-point field goals would Tim have to kick in the next game to bring his average (arithmetic mean) to six points per game?

  3. math

    sally and hans started counting at the same time. sally counted on by tens from 300. hans counted back by hundreds. after six counts they had reached the same number. what number did hans start counting from?

  4. math

    Brian has been making octagonal wooden puzzles. He wants to make some hexagonal puzzles next. By how much does he needs to increase or decrease the angle measure on his template to make the hexagonal puzzles? A. increase by 15

  1. U.S. History

    Read this question: "If representation in Congress is to be determined by the number of people who live in each state, should slaves be counted?" At the Constitutional Convention, how would someone from a Southern state most

  2. English

    In “Cranes,” why does Song-sam volunteer to escort Tok-chae to Chongdan? A. Song-sam wants to find out why his old friend is on the communists’ side. B. Song-sam wants to talk with his old friend about their childhood. C.

  3. Math Binomial theorem

    I'm preparing for a test and one of the questions in my text is as follows: In a trivia contest,Sam has drawn a topic he knows nothing about, so he makes random guesses for the 10 T/F questions. Use the binomial theorem to help

  4. math

    A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is

  1. business

    Tim Urban, owner/manager of Urban's Motor Court in Key West, is considering outsourcing the daily room cleanup for his motel to Duffy's Maid Service. Tim rents an average of 50 rooms for each of 365 nights (365 X 50 equals the

  2. math

    A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is

  3. English

    Identify the sentence in each group in which the underlined verb does NOT agree with its subject. A. Everyone in Max’s family like to do jigsaw puzzles. B. One of the puzzles is missing a corner piece. C. Both of Max’s cousins

  4. Math

    CAN SOMEONE CHECK MY ANSWERS PLEASE? What types of problems can be solved using the greatest common factor? What types of problems can be solved using the least common multiple? Complete the explanation. *** Use the words 'same'

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