Monte is buying hot dogs and buns for the school carnival. hot dogs come in packages of 18 and buns come in packages of 20. he wants to have the dame number of each. How many packages of hot dogs should he buy?
A. 2
B. 5
C. 9
D. 10
E. 38

Respuesta :

Hey there!

Monte will need 9 packages of hot dogs.

To do this, we can first find the LCM.

To do this, first you find the prime factors of 20: 2 x 2 x 5

Then, you find the prime factors of 18: 2 x 3 x 3

Multiply each number by the greatest number it occurs:

2 x 2 x 3 x 3 x 5

And you get the LCM, 180. This means that you can get 180 total hot dogs and 180 total buns.

Then, divide that by the number of hot dogs in a package, to get the number of packages needed: 180/20 = 9

9 packages of hot dogs are needed.