Boxers = b Spaniels = s
b = s ∗ 4 s + b = 30
Now you have two equations - one that tells you the number of boxers in relation to spaniels and one telling you the number of each breed in relation to the total number of dogs. Solve using substitution.
s + ( 4 ∗ s ) = 30 4 s + s = 30 5 s = 30 s = 6
There are 6 spaniels.
There are 6 spaniels at the dog show. By letting boxers be 4 times the number of spaniels, we set up the equations based on the total number of dogs. Solving the equations, we find that there are 6 spaniels and 24 boxers.
;