Question

1. the table shows the schedule for certain trams at a theme park. both trams are at the tram station right now. in how many minutes will both trams be at the station again? (example 3)

tram | arrives at the station every...
g | 18 minutes
h | 24 minutes

1. on every third visit to craft depot, you receive a free craft kit. on every fifth visit, you receive a discount of $6. after how many visits do you receive the free craft kit and the discount at the same time? (example 3)

Explanation:

Question 13 (Tram Schedule Problem)

Step1: Find LCM of 18 and 24

Prime factorize 18: $18 = 2\times3^2$
Prime factorize 24: $24 = 2^3\times3$
LCM is product of highest powers: $2^3\times3^2 = 8\times9 = 72$

Step1: Find LCM of 3 and 5

Multiples of 3: 3, 6, 9, 12, 15, ...
Multiples of 5: 5, 10, 15, ...
LCM(3,5) = 15

Answer:

72 minutes

Question 14 (Craft Depot Visits Problem)