PSLE
Cathy baked some muffins. She gave ¹₈ of the muffins to her friends and 111 to her relatives. She was left with ¹₂ of the muffins. She packed these into 16 boxes. Some boxes contained 8 muffins while the rest contained 10 muffins.

1. How many muffins were packed into the 16 boxes?
2. How many boxes contained 10 muffins?

(a)
Fraction of the muffins given to her relatives
= 1 - ¹₈ - ¹₂

= 1 - ¹₈ - ⁴₈
= ³₈

Number of muffins that Cathy gave to her relatives = 3 u

3 u = 111

1 u = 111 ÷ 3 = 37

Number of muffins that were packed in 16 boxes
= 4 u
= 4 x 37
= 148

Number of muffins that were packed in 16 boxes = 148

Boxes of 10	Muffins	Boxes of 8	Muffins	Total muffins
16	160	0	0	160
15	150	1	8	158

If all the muffins are packed in boxes of 10, the number of muffins needed
= 16 x 10
= 160

Small difference
= 160 - 158
= 2

Big difference
= 160 - 148
= 12

Number of boxes of 8 muffins 
= 12 ÷ 2
= 6

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

Answer(s): (a) 148; (b) 10