divide 100 loaves among 10 men including a boatman, a foreman and a doorkeeper, who receive double portions. What is the share of each?
2007-09-05 13:37:16 · 4 answers · asked by youhavestolenmy♥ 1 in Science & Mathematics ➔ Mathematics
Simple...
10 - 3 = 7 men that receive single portions
the other 3 receive double portions
If each of the 7 men receive x portions,
then the boatman, foreman and doorkeeper receive 2x portions
Since there are 100 loaves in all,
7x + 2x + 2x + 2x = 100
7x + 6x = 100
13x = 100
x = 7 (Approx)
So each of the 7 men receive 7 loaves each.
The boatman, foreman and doorkeeper receive
7x2 = 14 loaves
Check back:
7x7 + 7x2 + 7x2 + 7x2
= 49 + 14 + 14 + 14
= 49 + 42 = 91
There are 9 loaves unaccounted for, so plug in 9 in place of 100 in the equation with x and solve for x again. Then you will get all loaves accounted for and a precise answer.
Hope I got it correct!
2007-09-05 13:52:07 · answer #1 · answered by Legolas Greenleaf 2 · 0⤊ 0⤋
100 loaves divided by 10 men plus three extra portions =
100/13 = 7 and 9/13 loaves
2007-09-05 20:43:46 · answer #2 · answered by Steve A 7 · 0⤊ 0⤋
Ok subtract the 10 men by 3
that = 7
count the 3 men as double
so that is 6
add the two together =13
100/13=7.69
(the 7 men git 7.69 each)
double 7.69 back since the 3 men git twice the amount
(so the 3 men git 15.38 each.)
2007-09-05 20:49:36 · answer #3 · answered by D J 2 · 0⤊ 0⤋
100/13 and 200/13
2007-09-05 20:50:26 · answer #4 · answered by cricketr77 2 · 0⤊ 0⤋