Question

(1) The movie house gives away a five dollar coupon for every four movies purchased. They give away a bag of popcorn for every three movies purchased. How many movies would movies would you have to purchase before receiving a bag of popcorn and a coupon at the same time?identify whether the problem is GCF or LCM

Answer 1

ANSWER:

12 movies

STEP-BY-STEP EXPLANATION:

Since for the 5 dollar coupon it is for 4 movies and the one for the popcorn is every 3 movies, we must calculate the least common multiple (LCM) between 3 and 4.

$\begin{gathered} 3,4|2 \\ 3,2|3 \\ 1,2|2 \\ 1,1 \\ \text{LCM = }2\cdot3\cdot2=12 \end{gathered}$

Which means that at 12 movies I would have the coupon and free popcorn