Mr. Stephenson, the owner of two car dealerships in Summerfield, is holding a contest to see
which one can sell the most cars. Summerfield Cars has already sold 5 cars, and
Stephenson's Autos has sold 20 cars. Going forward, the salespeople at Summerfield Cars
think they can sell 6 cars per day, whereas the salespeople at Stephenson's Autos are aiming
for sales of 3 cars per day. If the salespeople's predictions are accurate, it won't be long
before the two dealerships are tied. How long will that take?
Write a system of equations, graph them, and type the solution.
Cars
50
40
30
20
10
Days
10

Respuesta :

Answer:

35 cars  in 5 days

Step-by-step explanation:

Let x = total of days when both dealers tie

     y = total of cars sold when both dealer tie

Total of car Summerfield sell when both dealers tie :

y = 5 + x × 6

y = 5 + 6x

Total of car Stephenson sell when both dealers tie :

y = 20 + x × 3

y = 20 + 3x

System of equations :

[tex]\left \{ {{y=5+6x} \atop {y=20+3x}} \right.[/tex]

y = 5 + 6x

y = 20 + 3x

------------------- (-)

0 = -15 + 3x

3x = 15

x = 5 days

y = 5 + 6x

y = 5 + 6(5)

y = 35 cars

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