math

posted by .

Your teacher is giving you a test worth 100 points containing 40 questions. There are two-point and four-point questions on the test. How many of each type of question are on the test?

How would you set this up?

  • math -

    Suppose there are x 2-pointers and y 4-pointers.

    x + y = 40

    2x + 4y = 100

    If you are learning algebra, you probably know what to do next.

    You could double both sides of the first equation and subtract what you get from the second equation, for example. That would give you 2y = 20 right away.

  • math -

    Ok you have to write a system of equations.

    x+y=40
    2x+4y=100

    y=40-x

    2x+4(40-x)=100

    solve: X=30 Y=10

    then 30+y = 40
    y=10

  • math -

    I totally understand now! i had the 2x+4y=100...i just was blanking out about how to set up the 2nd part but I see now! Thank you so much! :)

  • math -

    what is the fraction lowes terms and a decimal 54

  • math -

    X-y=5
    4x+6y=120

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra

    Your teacher is giving you a test worth 100 points containing 40 questions. There are 2-point and 4-point questions on the test. How many of each type are there. dealing w/-subst. and elimin.
  2. Math

    I need help solving this math problem, please: Problem: Angela's math test had 100 multiple-choice questions. Each correct answer was worth 1 point, each incorrect answer was worth -2 points, and skipped questions were worth 0 points. …
  3. math help

    I need help solving this math problem, please: Problem: Angela's math test had 100 multiple-choice questions. Each correct answer was worth 1 point, each incorrect answer was worth -2 points, and skipped questions were worth 0 points. …
  4. math

    algebra in 8th your teacher is giving you a test worth 100 points containing 40 questions. There are two-point and four-point questions on the test. how many of each type of questions are on the test?
  5. Algebra

    An Algebra I test contains 30 questions. Some of the questions are worth 4 points each, and some are worth 2 points each. The total test is worth 100 points. Let f represent the number of questions worth 4 points and t, the number …
  6. math

    Write an equation relating the number of questions I get right on a test to the total score I will get if the test has 20 questions each with the same point value and the test is worth 100 points total. I know each question is worth …
  7. System ?

    Your teacher is giving you a test worth 100 points containing 40 questions there are 2-point and 3 point questions on the test how many each type are on the test ?
  8. (Math) Help me solve this Pls.

    Write a linear system of equations that can be used to solve these problems. Then, solve to get your final answer 1. An exam worth 145 points contains 50 questions. Some of the questions are worth two points and some are worth five …
  9. math

    Your math test has 38 questions and is worth 200. points. The test consist of multiple choice questions worth 4 points each and open ended questions worth 20 points each. How many of each type of question are there?
  10. math

    On a 28-question test, there are 2-point questions, 4-point questions, and 5-point questions. The test is worth a total of 100 points. There are twice as many 2-point questions as 5-point questions on the test. How many 2-point questions …

More Similar Questions