PSLE
Kathy bought some bags of pomegranates. Each bag contained 9 pomegranates. The total number of pomegranates Kathy bought was less than 60. Kathy ate 5 pomegranates and gave the rest equally to her 7 friends.

1. How many pomegranates did Kathy buy?
2. How many pomegranates did Kathy give to each friend?

(a)
The total number of pomegranates is the multiples of 9 since each bag contained 9 pomegranates.
Multiples of 9: 9, 18, 27, 36, 45, 54

The total number of pomegranates given to the 7 friends is the multiples of 7 since there were 7 friends.
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56

The total number of pomegranates is the multiples of 7 with an added 5 pomegranates since Kathy ate 5 pomegranates.
Multiples of 7 (+5): 12, 19, 26, 33, 40, 47, 54, 61

Number of pomegranates that Kathy bought = 54

(b)
Number of pomegranates that Kathy gave to each friend
= (54 - 5) ÷ 7
= 49 ÷ 7
= 7

Answer(s): (a) 54; (b) 7