All word problems – counting problems

Sue drinks 3 cups of Beanster Coffee each day. Sue always uses Beanster’s loyalty card, which gives the 6th cup for free. She gets a new loyalty card each time she receives her free cup. It’s the start of a new day and Sue holds a new empty loyalty card. How many days would it take Sue to get her 9th new Beanster loyalty card?

The number of students in a high-school class is a multiple of 24. The class is divided into two groups of equal size, Group 1 and Group 2. The teacher hands out a unique number to each student so that the smallest number is 1 and the largest number is the total number of students in the class. The numbers are handed in ascending order starting with Group 1. What could be the largest student number in group 1, and the smallest number in group 2, respectively?

On average, a new customer enters Sprouts Coffee Shop every 5 minutes. The first customer walks in at exactly 9:00. At what time will the 18th customer enter Sprouts Coffee Shop?

Sue drinks 3 cups of Beanster Coffee each day. Sue always uses Beanster’s loyalty card, which gives the 6th cup for free. She gets a new loyalty card each time she receives her free cup. It’s the start of a new day and Sue holds a new empty loyalty card. How many days would it take Sue to get her 9th new Beanster loyalty card?

A plank fence comprises 20-centimetre wide wooden planks standing upright. The planks are exactly 10 centimetre apart. What is the maximal amount of wooden planks in 10.1 metres of fence?