Algebra word problem

posted by .

There are 50 questions to answer in a triva contest. Each player starts with 100 points. He or she earns ten points for each correct answer but will lose four points for each incorrect answer. Each player must answer all 50 questions. What is the fewest number of questions a contestant must answer correctly to have a score over 350?
Is the answer 22????

  • Algebra word problem -

    score = 10*right - 4*wrong
    s = 100 + 10r - 4w
    r+w = 50

    so, to get at least 350,

    100 + 10r - 4(50-r) > 350
    100 + 10r - 200 + 4r > 350
    14r > 450
    r > 32.14

    so, at least 33 correct answers

    100 + 32*10 - 18*4 = 348
    100 + 33*10 - 17*4 = 362

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    In a multiple-choice test, each question has five options. Students will get 5 points for each correct answer; lose 2 point for each incorrect answer; and receive no points for unanswered questions. A student does not know the correct …
  2. Math-probability

    In a multiple-choice test, each question has five options. Students will get 5 points for each correct answer; lose 2 point for each incorrect answer; and receive no points for unanswered questions. A student does not know the correct …
  3. Math

    In a multiple-choice test, each question has five options. Students will get 5 points for each correct answer; lose 2 point for each incorrect answer; and receive no points for unanswered questions. A student does not know the correct …
  4. algebra

    There are 50 questions to answer in a triva contest. Each player starts with 100 points. He or she earns ten points for each correct answer but will lose four points for each incorrect answer. Each player must answer all 50 questions. …
  5. ALGEBRA

    In a math contest each team is asked 50 questions. The team earns 15 points for each correct answer and loses 8 for each incorrect answer. One team finished with 566 points. How many questions id the team answer correctly?
  6. math

    Can someone please help me on these I have look at the examples and done just what they did, but I still get it wrong and I only have one more time to try. Use the following table to answer the questions. (Give your answers correct …
  7. math help

    Use the following table to answer the questions. (Give your answers correct to two decimal places.) x 1 1 3 3 5 5 7 7 9 9 y 3 2 6 1 3 3 3 2 5 3 (a) Find the equation of the line of best fit. y hat = + x (ii) Graph this equation on …
  8. Algebra 1 - 9th Grade

    A contestant on a quiz show gets 50 points for every correct answer and loses 100 points for each incorrect answer. After answering 24 questions, the contestant has 300 points. How many questions has the contestant answered correctly?
  9. Algebra 1

    A contestant on a quiz show gets 50 points for every correct answer and loses 100 points for each incorrect answer. After answering 24 questions, the contestant has 300 points. How many questions has the contestant answered correctly?
  10. Math

    Sanjay takes a pre-ap multiple choice test of 25 questions in which he earns 10 points for every correct answer, but loses 2 points for every incorrect answer. Sanjay answered all 25 questions and scored 202 points. How many did he …

More Similar Questions