SOLUTION: Need this Linear Mat Question answered: TODAY! A police academy is training 14 new recruits. Some are working dogs and others are police officers. There are 38 legs in all.

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Question 1084852: Need this Linear Mat Question answered: TODAY!
A police academy is training 14 new recruits. Some are working dogs and others are police officers. There are 38 legs in all. How many of each type of recruit are there?

Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
A police academy is training 14 new recruits. Some are working dogs and others are police officers. There are 38 legs in all. How many of each type of recruit are there?
==================
dogs + men = 14
4*dogs + 2*men = 38

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

A police academy is training new recruits.
Some are working dogs and others are police officers.
let dogs be and police officers
so, ........eq.1
There are legs in all.
dogs have legs; so, the number of dogs legs is
police officer have legs; so, the number of police officers legs is
then, ........eq.2
solve the system:
........eq.1
........eq.2....both sides divide by
--------------------------------------------
........eq.1
.......eq.2
-----------------------------------------subtract eq1 from eq2
.......eq.2

-> there was dogs
........eq.1

-> there was police officers

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