A donkey and a mule were carrying bags of grain. If one mule gave the donkey one bag, they would have the same number. If the donkey gave the mule one if his bags, the mule would have twice as many as the donkey. How many bags was each carrying?
2006-11-12 07:54:31 · 11 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
M - 1 = D + 1
2 * (D - 1) = M + 1
can you solve the rest as two equations with two variables?
M = D + 2
(2 * D) - 2 = M + 1
M = D + 2 substitute into
2 * D = M + 3
2 * D = (D + 2) + 3
2 * D = D + 5
Looks like D = 5.
So M = D + 2 = 7
Donkey has 5 and Mule has 7.
Check it out and see if it works.
2006-11-12 08:02:44 · answer #1 · answered by emilynghiem 5 · 0⤊ 0⤋
Break down the sentences into equations:
"If one mule gave the donkey one bag, they would have the same number"
m - 1 = d + 1
Mule gave donkey one, so mule is -1, donkey got one, so donkey is +1
"If the donkey gave the mule one of his bags, the mule would have twice as many as the donkey."
2*(d - 1) = m + 1
Donkey gave mule one, so donkey is -1, mule is +1, mule is twice current donkey value, so (m+1) = 2*(d - 1)
Subtract the first equation from the second, and you get:
m+1 = 2(d - 1)
-(m-1 = d + 1)
_____________
2 = d - 3 => d = 5
m - 1 = d + 1 = 5 + 1 = 6
m = 7
2006-11-12 16:10:25 · answer #2 · answered by Absent Glare 3 · 0⤊ 0⤋
donkey 5 mule 7
2006-11-12 16:31:16 · answer #3 · answered by dcmclaren77 1 · 0⤊ 0⤋
the donkey had 5 bags and the mule has 7
2006-11-12 16:01:11 · answer #4 · answered by D.P 3 · 0⤊ 0⤋
donkey has 2 mule has 4
2006-11-12 16:04:24 · answer #5 · answered by ArmyWife 2 · 0⤊ 0⤋
This is a very simple problem, just write the two equations and then solve them. Assume that the donkey has d bags of grain to start and the mule has m bags of grain to start.
2006-11-12 16:00:43 · answer #6 · answered by rscanner 6 · 0⤊ 0⤋
u are in 7th grade arent u?
donkey 5 mule 7
2006-11-12 16:06:52 · answer #7 · answered by asdrewq 1 · 0⤊ 0⤋
5 and 7
2006-11-12 15:57:35 · answer #8 · answered by polloloco.rb67 4 · 0⤊ 1⤋
the donkey carrys 4
the mule carrys 5
2006-11-12 16:00:16 · answer #9 · answered by 7 · 1⤊ 1⤋
let m=bags on mule
and d= bags on donkey
so
m-1=d+1 so m = d+2 equation 1
and 2(d-1)=m+1 equation 2
substitution of equation 1 into equation 2 yields
2(d-1)=d+3 so 2d-2=d+3 so d=5 and m=7
2006-11-12 16:00:14 · answer #10 · answered by ? 7 · 0⤊ 1⤋