MATH 112 helpl please

Bill brought four times as may apples as harry and three times as may apples as martin. If Bill, and martin purchased less than a total of 190, apples, what is the greatest number of apples that bill could have purchased?

  1. 👍 0
  2. 👎 0
  3. 👁 75
asked by Shawn
  1. apples for Harry -- x
    apples for Bill --- 4x
    apples for Martin -- y
    but Bill's apples = 3 times Martin
    4x = 3y
    y = 4x/3

    Bill + martin < 190
    4x + 4x/3 < 190
    times 3
    12x + 4x < 570
    16x < 570
    x <35.6
    4x < 142.5
    greatest number of apples for Bill is 142

    but Bill bought 4 times as many as Harry, and we will assume that there were no fractional apples .
    Thus Bill's number of apples should be a multiple of 4
    and the greatest such multiple which is less than 142
    is 140
    BUT, that would still give Martin partial apples
    how about 136?
    then y = (4/3)(136) --- still not a whole number
    how about 132 ???
    then y = (4/3)(132) = 44 and x = 3y/4 = 33

    yeah, whole apples all around

    Harry --- 33 apples
    Bill ----- 132 apples
    Martin --- 44 apples

    Notice ratio of
    Harry : Bill : Martin = 33 : 132 : 44 , where 132 + 44 < 190
    = 3: 12: 4

    if we went for the ratio of
    36 : 144 : 48 , the sum of apples for Bill and Martin > 190
    even though the relationship of apples between them would be correct

    1. 👍 0
    2. 👎 0
    posted by Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Mark bought four times as many apples as Harry and three times as many apples as Martin. If Mark, Harry, and Martin purchased less than a total of 190 apples, what's the greatest number of apples that mark could have purchased?

    asked by Dawn on March 10, 2013
  2. math

    Suzanne bought 50 apples at the apple orchard. She bought 4 times as many red apples as green apples. How many more red apples than green apples did Susan buy?

    asked by Anonymous on January 23, 2014
  3. Math:Algebra

    Maya has 2 times as many apples as Ally if Ally has 87 apples how many apples dose Maya have now? Maya's sister takes some away. Write an algebraic expression that represents the amount of apples they have now?

    asked by Rayan on November 16, 2014
  4. Math

    There are 3 types of apples in a basket: 7 Red Delicious apples, 8 Gala apples, and 9 Granny Smith apples. Without looking, what is the fewest number of apples you need to take out of the basked to guarantee that you have at least

    asked by Kabir on October 13, 2017
  5. math

    meredith picked 4 times as many green apples as red apples. if she picked a total of 20 apples how many green apples did she pick?

    asked by kat on October 15, 2012
  6. math

    BUY 6 APPLES AND GET 1 FREE APPLES COST $4.00 EACH Sahida purchased $120 worth of apples. a) How much free apples did she get? b) How many apples did she get altogether? c) Sahida's friends also bought the apples on sale. She

    asked by indira on March 1, 2017
  7. math

    Pilar picked 12 apples. She gave 1/4 of the apples to Dwayne, 1/4 of the apples to Murphy, and 1/4 of the apples to kelley. How many apples did each of them get?

    asked by Kesha on April 30, 2013
  8. math

    donna brings 32 slices of apples and oranges to the party. there are 3 times as many oranges than apples. how many apples are there

    asked by ann on February 6, 2014
  9. Maths

    Fatima bought 50 apples at the apple Orchard. She bought 4 times as many red apples as green apples. How many more red apples than green apples did Fatima buy?

    asked by Nyasha on March 2, 2017
  10. Math

    Suzanne bought 50 apples at the apple orchard.she bought 4 times as many red apples as green apples.how many more red apples than green apples did Suzanne buy?

    asked by Melody on November 14, 2013

More Similar Questions