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An automobile dealer had 288 cars and trucks in stock during the month. He must pay an inventory fee of 52 per car and $5 per truck. If he paid $849 for inventory foes. how many cars andTrucks did he have during the month?

Respuesta :

For the given conditions, we won’t get a practical solution.

Solution:

Given, An automobile dealer had 288 cars and trucks in stock during the month.  

He must pay an inventory fee of 52 per car and $5 per truck.  

He paid $849 for inventory foes.  

We have to find how many cars and Trucks did he have during the month?

Now, let the number of trucks be n, then number of cars will be 288 – n

And, according to given information,

[tex]\begin{array}{l}{5 \times n+52 \times(288-n)=849} \\\\ {\rightarrow 5 n+52 \times 288-52 n=849} \\\\ {\rightarrow 52 n-5 n=14976-849} \\\\ {\rightarrow 47 n=14127} \\\\ {\rightarrow n=300.57}\end{array}[/tex]

Here we got n > number of cars and trucks, which is practically impossible.  

Hence, for the given conditions, we won’t get a practical solution

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