Algebra word problem

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????

  1. 👍
  2. 👎
  3. 👁
  1. 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

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    In getting ready to slam-dunk the ball, a basketball player starts from rest and sprints to a speed of 11.0 m/s in 2.58 s. Assuming that the player accelerates uniformly, determine the distance he runs.

  2. algebra with finance

    A video game has been developed whereby the player must earn a certain number of experience points before progressing to the next level. On level 1, a player must earn 1 experience point. On level 2, a player must earn 4

  3. math

    Tina is playing a computer game. She starts with 100 points, and she loses points based on the following rules: • Each time a player passes a level, 8 points are lost. • Each time a player catches a flower, 3 points are lost.

  4. MAth

    Lily and rose are playing a game, in the game,each player starts with 0 points and the player with the most points at the end win. Lily gains 5 points two times loses 12 points ,and then gains 3 points. Rose loses 3 points two

  1. Algebra

    A test has 15 questions worth 100 points in total. The test consists of multiple choice questions, which are 4 points each, and open-response questions, which are worth 12 points each. How many multiple choice questions are on the

  2. Math

    A game is played using one dice. If the dice is rolled and shows 1, the player wins $1; if it shows 2, the player wins $2; if it shows a 3, the player wins $3. If the die shows 4,5,or 6 the player wins nothing. a.) If there is a

  3. Algebra

    A history test is to have 20 questions in which some are multiple choice and some are essay. The multiple choice questions are worth 4 points each and the essay questions are worth 8 points each. if the test has a total of 100

  4. math

    alan scored a total of 14 points for answering all 15 questions on a math quiz for every correctly answered question alan got 2 points for every wrong ahe lost 2 points how many questions did he answer correclty

  1. math

    A math contest consists of ten problems.Three points are given for each correct answer. One point is deducted for each incorrect answer. Andy answers all the problems and scores 18 points. How many correct answers does he have?

  2. Math

    A 100 point test contains a total of 20 questions. The multiple choice questions are worth 3 points each and the short response answer questions are worth 8 pints each. Write a system of linear equations that represents this

  3. Math

    In a math contest of 10 problems, 5 points was given for each correct answer and 2 points was deducted for each incorrect answer. If Nancy did all 10 problems ad scored 29 points, how many correct answers did she have?

  4. math

    There are 80 questions on a college entrance examination. Two points are awarded for each correct answer, and one-half point is deducted for each incorrect answer. How many questions does Tami need to answer correctly in order to

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