PSLE
Hazel baked some puffs. She gave ¹₈ of the puffs to her relatives and 63 to her friends. She was left with ¹₂ of the puffs. She packed these into 16 boxes. Some boxes contained 4 puffs while the rest contained 6 puffs.

1. How many puffs were packed into the 16 boxes?
2. How many boxes contained 6 puffs?

(a)
Fraction of the puffs given to her friends
= 1 - ¹₈ - ¹₂

= 1 - ¹₈ - ⁴₈
= ³₈

Number of puffs that Hazel gave to her friends = 3 u

3 u = 63

1 u = 63 ÷ 3 = 21

Number of puffs that were packed in 16 boxes
= 4 u
= 4 x 21
= 84

Number of puffs that were packed in 16 boxes = 84

Boxes of 6	Puffs	Boxes of 4	Puffs	Total puffs
16	96	0	0	96
15	90	1	4	94

If all the puffs are packed in boxes of 6, the number of puffs needed
= 16 x 6
= 96

Small difference
= 96 - 94
= 2

Big difference
= 96 - 84
= 12

Number of boxes of 4 puffs 
= 12 ÷ 2
= 6

Number of boxes of 6 puffs
= 16 - 6
= 10

Answer(s): (a) 84; (b) 10