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A roller coaster has 4 cars, each with the same number of seats. There are 21 passengers seated in the roller coaster, but 3 seats are empty. Write an equation that can be used to determine the number of seats in each car, s.

Respuesta :

MrRoyal

Answer:

[tex]4x = 24[/tex]

Step-by-step explanation:

Given

[tex]Cars = 4[/tex]

[tex]Passengers = 21[/tex]

[tex]Empty\ Seats = 3[/tex]

Required

Equation for the number of seats

Represent number of seats in 1 car with x

[tex]1\ car = x[/tex]

[tex]4\ cars = 4 * x[/tex]

[tex]4\ cars = 4x[/tex] seats

Solving further:

Number of seats can be determined using the following logic;

[tex]Total\ Seats = Empty\ Seats + Occupied\ Seats[/tex]

The occupied seats are occupied by passengers;

So:

[tex]Occupied\ Seats = 21[/tex]

[tex]Total\ Seats = Empty\ Seats + Occupied\ Seats[/tex] becomes

[tex]Total\ Seats = 3 + 21[/tex]

[tex]Total\ Seats = 24[/tex]

Hence; total seats in the 4 cars is 24

Recall that:

[tex]4\ cars = 4x[/tex] seats

Substitute 24 for 4 cars

[tex]24 = 4x[/tex]

Reorder

[tex]4x = 24[/tex]

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