Cent Cuff
Author: admin
Math Question! Please Help! 10 points for best answer with explanation!!?
Charlie and Freddie, having sent thier lingerie consisting of thirty pieces to the wash, Freddie calls for the same and explains that as his bundle contains half of the cuffs and but one-third of the cllars, it should cost but twenty-seven cents.
As four cuffs cost the same as five collars, the laundryman wants to know how much he must charge Charlie for the other package. Make a table (there is only one real solution)
That is exactly how the problem is worded…
Charlie owes thirty-nine cents.
F has half the cuffs and 1/3 of the collars, so C has half the cuffs and 2/3 of the collars. If F has x cuffs and y collars, C has x and 2y. The total is 2x+3y, which equals 30. so y=10-x*2/3. x and y being positive integers, the possible solutions are (3,8), (6,6), (9,4), and (12,2).
Four cuffs cost the same as 5 collars, so if each cuff costs z then each collar costs z*4/5. F owes x*z plus y*z*4/5, which he says is 27 cents. So z is 27/(x+y*4/5).
If you try each possible (x,y), you find that the only one that produces a rational number for z is (6,6), with z=2.5. So cuffs are 2.5 cents each (or 5 cents a pair) and collars are 2 cents each. F owed 3*5 + 6*2 = 27 cents, and C owed 3*5 + 12*2 = 39 cents.
metal detecting school house another large cent
