SOLUTION: I am a mom trying to help my son with a word problem. I am stumped. Please help: Pete has 20 pets. If he has 5 more than 1/4 as many dogs as cats, how many cats does he have?

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: I am a mom trying to help my son with a word problem. I am stumped. Please help: Pete has 20 pets. If he has 5 more than 1/4 as many dogs as cats, how many cats does he have?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 20149: I am a mom trying to help my son with a word problem. I am stumped. Please help:
Pete has 20 pets. If he has 5 more than 1/4 as many dogs as cats, how many cats does he have?
Thanks!
LS

Answer by suresh(20) About Me  (Show Source):
You can put this solution on YOUR website!
Pate has 20 pets.
Let x be the number of dogs and y be the number of cats.
Given:
x+y=20------------> (1)
5+(1/4)x = y------> (2)
Multiplying 4 on both sides of (2),we have
20+x=4y.
x-4y=-20---------->(3)
Subtracting (3)from (1),we have
5y=40
y=8.
So Pate has 8 cats.