# Question 866bc

Nov 26, 2016

Each dog has $40.00 spent on it. #### Explanation: Objective: find the cost for $\underline{\text{each}}$dog. Let the cost for 1 dog be $d$Let the cost for 1 cat be $c$Let total cost be $t$Count of cats is 164 Count of dogs is 24 Total budget is$4240 $= t$
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$\textcolor{b l u e}{\text{Building the equations}}$

Breaking down part of the question into its component parts:

...for each dog cost twice as much as those supplies for cats.

$\implies d = 2 c$................Equation(1)

Feeds 164 cats and 24 dogs. Her budget is $4240. $\implies t = 164 c + 24 d$.........Equation(2) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ $\textcolor{b l u e}{\text{Determine the cost of the dogs}}$Consider equation(1): $\implies c = \frac{d}{2} \text{ } \ldots \ldots \ldots \ldots . . E q u a t i o n \left({1}_{a}\right)$Using $E q u a t i o n \left({1}_{a}\right)$substitute for cats in Equation(2) giving: $t = 164 \left(\frac{d}{2}\right) + 24 d$But t=$4240

$4240=164(d/2)+24d $4240" "=" "82d+24d" " =" " 106d

Divide both sides by 106

d=$4240/106 =$40.00

Nov 26, 2016

Jane can spend $40 on each dog for food and medication. #### Explanation: Let $x be the cost of food and medication of single cat.

Then, $(2*x) is the cost of food and medication of single dog. By condition 24*2x+164x=4240 or 48x+164x=4240 or 212x=4240 or x= 4240/212=$20 ; 2x=$40 Hence Jane can spend $40# on each dog for food and medication. [Ans]