SOLUTION: A donkey and a horse were carrying some bales of cloth. The donkey said to the horse "If you give me one of your bales, i shall carry half as much as you." If you give me one of
Algebra ->
Customizable Word Problem Solvers
-> Misc
-> SOLUTION: A donkey and a horse were carrying some bales of cloth. The donkey said to the horse "If you give me one of your bales, i shall carry half as much as you." If you give me one of
Log On
Question 682060: A donkey and a horse were carrying some bales of cloth. The donkey said to the horse "If you give me one of your bales, i shall carry half as much as you." If you give me one of yours, replied the horse, I will be carrying 3x's as much as you. How many bales was each animal originally carrying?
THANKS FOR YOUR HELP!!
You can put this solution on YOUR website! Let = donkey's original number of bales
Let = horses original number of bales
given:
After horse gives donkey 1 bale,
donkey has bales
horse has bales
and
(1)
------------------------
After donkey gives horse 1 bale,
donkey has bales
horse has bales
and
(2)
------------------------
(1)
(1)
and
(2)
(2)
----------------
Subtract (1) from (2)
(2)
(1)
and
(2)
(2)
(2)
(2)
The donkey started with 7 bales
The horse started with 17 bales
check:
horse gives donkey 1 bale
They have 8 and 16, donkey has 1/2 of horses
donkey gives horse 1 bale
They have 6 and 18, horse has 3 times donkey's
OK
You can put this solution on YOUR website! x carried by horse
y carried by donkey
y+1 = (1/2)(x-1) multiplied by 2
2y + 2 = x - 1 : x = 2y + 3
x+1 = 3(y-1)
...
2y + 3 + 1 = 3y - 3
4 + 3 = 3y - 2y carried by donkey
x = 3(7)-4 = 21-4 = carried by horse
.....................
Have more questions?
Email: HomeworkHelpers@readingboosters.com
Delighted to help.
-Reading Boosters
Website: www.MyHomeworkAnswers.com
Wanting for others what we want for ourselves.
(