Question

Patrick is buying a new car. He can choose the body style, color and engine type. If there are 54 ways he can select a car, with there body styles and two engine choices , his many colors are available

Answer 1

Given:

Total Number of ways = 54

Number of body styles = 3

Number of engine choices = 2

Let's find the number of colors available.

To find the number of colors available, we have:

Number of ways = Number of body styles x Number of engine choices x Number of colors

54 = 3 x 2 x c

Where c represent the available number of colors.

Let's find c.

54 = 3 x 2 x c

54 = 6c

Divide both sides by 6:

`\begin{gathered} (54)/(6)=(6c)/(6) \\ \\ 9=c \\ \\ c=9 \end{gathered}`

Therefore, there are 9 colors available to select from.

ANSWER:

9