The table shows different ways that Cameron can display his 12 model cars on shelves. How many shelves will display 2 cars if 8 of the shelves each display 1 car

Verified Answer :

DeniG

2 shelves will display 2 cars because if 8 shelves display 1 car then there would be missing 4 cars to display and if you display 2 cars in one shelf you will need 2 shelves

Answer:

2 selves.

Step-by-step explanation:

Let x represent the number of shelves having 2 cars.

Number of cars on x shelves would be \(2x\).

We have been given that 8 of the shelves each display 1 car, so number of cars displayed on 8 shelves would be \(8\times 1 =8\).

We have been given that Cameron 12 model cars to display on shelves. This means that number of cars on x shelves plus 8 cars would be equal to 12.

We can represent this information in an equation as:

\(2x+8=12\)

\(2x+8-8=12-8\)

\(2x=4\)

\(\frac{2x}{2}=\frac{4}{2}\)

\(x=2\)

Therefore, 2 shelves will display 2 cars.