Question

There are 49 dogs signed up for a dog show. There are 36 more small dogs than the large dogs. How many small dogs have signed up to compete? ​

Answer 1

Answer:

x = number large dogs

x + 36 = number small dogs

 

x + (x + 36) = 49

2x + 36 = 49

2x = 13

x = 6.5 large dogs

x + 36 = 42.5 small dogs

 

Since I highly doubt we have any "half dogs" the numbers given in the problem are off.

If there were an even number of total dogs this would work.  As it is, we have either

6 large, 43 small or 7 large, 42 small ...

Neither case actually gives 36 more small dogs and a total of 49.