Belle bought 14 toy cars. the cars came in p packages. write an expression that shows how many toy cars were in each package.

type an asterisk ( * ) if you want to use a multiplication sign and a slash ( / ) if you want to use a division sign.

x = 14/p

2 packages each with 7 cars

7 packages each with 2 cars

Step-by-step explanation:

Number of cars that Belle bought = n = 14

The cars came in packages and there were p packages in total. Let there be x cars in each package.

Since, number of cars in each package is x, the number of cars in p packages would be x*p

We have been given that there were 14 cars in p packages, so we can set up the equation as:

14 = x*p

Asterisk ( * ) indicates the multiplication of x and p.

The number of cars, x in each package can be expressed as:

x = 14/p

Slash ( / ) indicates the division sign.

Since, the number of packages and the number of cars can be whole numbers only, so the values of x and p must be whole numbers. Since product of x and p is 14, both x and p must be factors of 14.

The factors of 14 are: 1,2,7, and 14

So, we get the following scenarios:

1 package with 14 cars inside it

2 packages each with 7 cars

7 packages each with 2 cars

14 packages each with 1 car

If the number of cars/packages must be greater than 1, then we have the following two cases:

2 packages each with 7 cars

7 packages each with 2 cars