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A car rental company has at its 350 cars at its Boston location.it has 14 more midsize cars than three times the number of compact cars.find the number of each type of car in the company fleet

Respuesta :

calculista

Answer:

The number of midsize cars is [tex]266[/tex]

The number of compact cars is [tex]84[/tex]

Step-by-step explanation:

Let

x-----> the number of midsize cars

y-----> the number of compact cars

we know that

[tex]x+y=350[/tex] -----> equation A

[tex]x=14+3y[/tex] ----> equation B

substitute equation B in equation A

[tex](14+3y)+y=350[/tex]

[tex]3y+y=350-14[/tex]

[tex]4y=336[/tex]

[tex]y=336/4=84[/tex]

Find the value of x

[tex]x=14+3y[/tex] -----> [tex]x=14+3(84)=266[/tex]

therefore

the number of midsize cars is [tex]266[/tex]

the number of compact cars is [tex]84[/tex]

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