Josh have 2 animal collars.
"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
For given question,
Let x represents the number of dogs, y represents the number of cats and z represents the number of collars.
Mary has twice as many dogs as David has cats.
⇒ x = 2y ..................(i)
Josh has enough animal collars to give a collar to one third of the dogs or to give a collar to all the cats except one.
⇒ [tex]z=\frac{1}{3} x[/tex] ....................(ii)
⇒ z = y - 1 .................(iii)
Now we have three equations.
We need to find the value of z.
First substitute x= 2y in equation (ii) and equation that equation to (iii)
[tex]\Rightarrow \frac{1}{3}2y=y-1\\\\\Rightarrow 2y=3y-3\\\\ \Rightarrow y=3[/tex]
This means, the number of cats are 3.
Substitute this value of y in equation (iii)
⇒ z = 3 - 1
⇒ z = 2
Therefore, Josh has 2 animal collars.
Learn more about equations here:
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