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