arth ping
Uhhhh.... 36
There are 49 dogs signed up to compete in the dog show. There are 36 more small dogs than large dogs signed up to compete. How many small dogs are signed up to compete?
LOL. Weird one for sure. I got the same answer explained in the article.
Total Dogs Large Dogs Small Dogs
49 L 36+L
49=L+(36+L)
49=36+2L
2L=13
13/2=6.5
36+6.5=42.5 dogs...?????!
x + (x +36) = 49
2x = 13
x=6.5
small dogs = x+36, so 42.5
That's obviously not what they had in mind, but if you can't define a problem correctly nobody can solve it correctly.
42 small dogs
6 big dogs
1 medium dog
or...
42.5 small dogs
6.5 big dogs
or...
the idiot that came up with this problem didn’t know what he was doing.
x=xmall
y=large
x + y = 49
x - y = 36
Simultaneous equations:
2x + y - y = 49 + 36 = 85
2x = 85
x = 42.5 small dogs
I wonder if there was a typo in the question and they meant to ask “how many large dogs”? Other wise the answer out of a total of 49 dogs would be “36” small dogs!
Just 1/3 of the dog she used to be.
42 1/2 small dogs. I
Small dogs equals 6.5. Big dogs equals 42.5 . This is why nobody could get the right answer. Half a big dog and half a small dog does not make sense.
It’s a hot dog contest and someone got hungry before it started.
There are only 2 sets, large and small dogs. 49 is the total and there are 36 more small than large, with only 2 sets. 36 is one of the sets.
X+36=49
Take 36 from each side
X=13
There are 13 large dogs.
That’s the answer.
The other way implies
# of large dogs + (# of large dogs + # of small dogs) = total # of dogs
Additionally, since only addition is taking place, the parenthetical is irrelevant. If they say the answer is fractional dogs, it’s freakin wrong.
They don’t do long arithmetic anymore
This is not mathematics technically
Few Americans do actual math
“There are 49 dogs signed up to compete in the dog show. There are 36 more small dogs than large dogs signed up to compete. How many small dogs are signed up to compete?”
Let S be the number of small dogs, and L be the number of large dogs:
Given:
S + L = 49
S - L = 36
Solution:
S - L = 36 becomes
S = L + 36
Substitute L + 36 for S in the first given so that
S + L = 49
becomes
(L + 36) + L = 49
simplify to
2L = 49 - 36 = 13
reduce both sides by dividing each by 2
2L/2 = 13/2
reduces to
L = 6.5
solving for S,
S + 6.5 = 49
S = 49 - 6.5 = 42.5
The number of small dogs would be 42.5.
And the number of large dogs wold be 6.5.
check your work...
42.5 + 6.5 = 49
42.5 - 6.5 = 36
It’s correct.
However, since we are dealing with dogs, the answer should be in whole numbers or the original proposal would be invalid. If we were discussing large and small hot dogs, it could make sense to have halves.
Btw
Mom is right
Question requires a half a dog
Mistake on lesson writers not mom
Reminds me of Egyptian Mathematics. Without using algebra, or X such as which is used in modern day mathematics:
A quanity with ¼ added to it becomes 15.
This simple question took mathmaticians years to figure out how the Egyptians solved this simple problem on the Ahmes Papyrus. The answer is as follows:
[Assume 4.] [That is] multiply 4, making 1/4, namely 1, [so that the] Total is 5 [proceeding in the usual manner:
\1 4 \l/4 1
Total: 5].
[As many times as 5 must be multiplied to make 15, so many times 4 must be multiplied to give the required number.]
Operate on 5 to find 15 \1 5
\2 10 Total: 3.
Multiply 3 tunes 4. 13 26
\4 12
This becomes 12. [And find its 1/4:]
1 12 \l/4 3
Total: IS.
[Hence] the quantity is 12 and its 1/4 is 3 and the total b IS.
[This checks out since the sum agrees with what was originally specified.]
I don’t understand the teachers answer at all. You can’t have a half a dog. The answer to the question is 36. There are 36 small dogs and 13 large
Bonus question: “therefore, how many pancakes does it take to shingle a dog house?”