PSLE
Nicole bought some bags of passion fruits. Each bag contained 7 passion fruits. The total number of passion fruits Nicole bought was less than 40. Nicole ate 5 passion fruits and gave the rest equally to her 6 friends.

1. How many passion fruits did Nicole buy?
2. How many passion fruits did Nicole give to each friend?

(a)
The total number of passion fruits is the multiples of 7 since each bag contained 7 passion fruits.
Multiples of 7: 7, 14, 21, 28, 35

The total number of passion fruits given to the 6 friends is the multiples of 6 since there were 6 friends.
Multiples of 6: 6, 12, 18, 24, 30, 36

The total number of passion fruits is the multiples of 6 with an added 5 passion fruits since Nicole ate 5 passion fruits.
Multiples of 6 (+5): 11, 17, 23, 29, 35, 41

Number of passion fruits that Nicole bought = 35

(b)
Number of passion fruits that Nicole gave to each friend
= (35 - 5) ÷ 6
= 30 ÷ 6
= 5

Answer(s): (a) 35; (b) 5