math

posted by .

Jeff wants to start a lawn maintenance service to earn money for college. He wants to charge $25 for a small lawn and $35 for a large one. It takes him an average of 2 hours to mow and trim a small lawn and 3 hours to do a large one. He wants to make at least $250 a week but can work no more than 20 hours every week.

If x is the number of small lawns and y is the number of large lawns, which ordered pair is a solution to the system of inequalities which describes Jeff's situation?

  • math -

    Don't see any choices, but we do know

    2x + 3y <= 20
    25x + 35y >= 250

    If he does 10 small lawns, that's 20 hrs and $250

    He can't do any large lawns, since he can do at most 8 small lawns for $200, and can't make up the difference and stay under 20 hours:

    S L Hrs $$$
    10 0 20 250
    9 0 18 225
    8 1 19 235
    7 2 20 245
    6 2 18 220
    . . .

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math Problem Solving

    Jay and Mark run a lawn mowing service. Mark's mower is twice as big as Jay's, so whenever they both mow, Mark mows twice as much as Jay in a given time period. When Jay and Mark are working together, it takes them 4 hours to cut the …
  2. Math

    Mike can mow a lawn in 3 hours. Paul can mow the same lawn in 2 hours. How long would it take both of them working together to mow the lawn?
  3. algebra

    it john 4 hours to mow a lawn it takes maria 3 hours to mow the same lawn, how long would it take if they worked together?
  4. Math

    if jack can mow his lawn in 4 hours and sue can mow the same lawn in 7 hrs how much time if they both mowed the lawn together?
  5. Math

    if jack can mow his lawn in 4 hours and sue can mow the same lawn in 7 hrs how much time if they both mowed the lawn together?
  6. Math

    if jack can mow his lawn in 4 hours and sue can mow the same lawn in 7 hrs how much time if they both mowed the lawn together?
  7. Math

    Suppose that it takes Sally 3 hours to mow, and it takes Tom 4 hours to mow the same lawn; Tom's mower is less powerful than Sally's. Without using algebra determine how long it would take Sally and Tom to mow the lawn if they worked …
  8. Algebra 2

    It takes you 3 hours to mow a lawn & it takes your sister 2 hours to mow the same lawn. How long does it take the two of you to mow 12 lawns if you work together?
  9. Math

    Can you help me with my homework??? It takes Evan 6 3/4 hours to mow 3 lawns. It takes him 2 1/3 hours to mow Mr.gals lawn and 1 3/4 hours to mow Ms.lee's lawn. How many hours did it take to mow the third lawn?
  10. Math

    If Bill can now a lawn in 'x' hours, what part of the lawn can he now in 2 hours?

More Similar Questions