PSLE
Fanny baked some puffs. She gave ¹₆ of the puffs to her relatives and 68 to her friends. She was left with ¹₂ of the puffs. She packed these into 13 boxes. Some boxes contained 6 puffs while the rest contained 9 puffs.

1. How many puffs were packed into the 13 boxes?
2. How many boxes contained 9 puffs?

(a)
Fraction of the puffs given to her friends
= 1 - ¹₆ - ¹₂

= 1 - ¹₆ - ³₆
= ²₆

Number of puffs that Fanny gave to her friends = 2 u

2 u = 68

1 u = 68 ÷ 2 = 34

Number of puffs that were packed in 13 boxes
= 3 u
= 3 x 34
= 102

Number of puffs that were packed in 13 boxes = 102

Boxes of 9	Puffs	Boxes of 6	Puffs	Total puffs
13	117	0	0	117
12	108	1	6	114

If all the puffs are packed in boxes of 9, the number of puffs needed
= 13 x 9
= 117

Small difference
= 117 - 114
= 3

Big difference
= 117 - 102
= 15

Number of boxes of 6 puffs 
= 15 ÷ 3
= 5

Number of boxes of 9 puffs
= 13 - 5
= 8

Answer(s): (a) 102; (b) 8