contestada

Thrifty Parking Garage has 40 parking spaces. Each space can be used by a
car or a motorcycle (no trucks). One day when all 40 spaces are in use, the
owner walks through the garage and looks at each vehicle. He tells his
assistant, "There are 152 wheels in this garage right now." How many
motorcycles are in the garage?

Respuesta :

Answer: m=4

Step-by-step explanation:

Answer:

4 motorcycles.

Step-by-step explanation:

Let x represent number of cars and y represent number of motorcycles.

We have been given that Thrifty Parking Garage has 40 parking spaces. We can represent this information in an equation as:

[tex]x+y=40...(1)[/tex]

The number of wheels in y motorcycles would be [tex]2y[/tex].

The number of wheels in x cars would be [tex]4x[/tex].

We have been given that there are 152 wheels in this garage. We can represent this information in an equation as:

[tex]4x+2y=152...(2)[/tex]

Form equation (1), we will get:

[tex]x=40-y[/tex]

Substitute this value in equation (2):

[tex]4(40-y)+2y=152[/tex]

[tex]160-4y+2y=152[/tex]

[tex]160-2y=152[/tex]

[tex]160-160-2y=152-160[/tex]

[tex]-2y=-8[/tex]

[tex]\frac{-2y}{-2}=\frac{-8}{-2}[/tex]

[tex]y=4[/tex]

Therefore, there are 4 motorcycles in the garage.

Otras preguntas