PSLE
Joelle baked some scones. She gave ¹₁₀ of the scones to her students and 88 to her colleagues. She was left with ¹₂ of the scones. She packed these into 16 boxes. Some boxes contained 5 scones while the rest contained 8 scones.

1. How many scones were packed into the 16 boxes?
2. How many boxes contained 8 scones?

(a)
Fraction of the scones given to her colleagues
= 1 - ¹₁₀ - ¹₂

= 1 - ¹₁₀ - ⁵₁₀
= ⁴₁₀

Number of scones that Joelle gave to her colleagues = 4 u

4 u = 88

1 u = 88 ÷ 4 = 22

Number of scones that were packed in 16 boxes
= 5 u
= 5 x 22
= 110

Number of scones that were packed in 16 boxes = 110

Boxes of 8	Scones	Boxes of 5	Scones	Total scones
16	128	0	0	128
15	120	1	5	125

If all the scones are packed in boxes of 8, the number of scones needed
= 16 x 8
= 128

Small difference
= 128 - 125
= 3

Big difference
= 128 - 110
= 18

Number of boxes of 5 scones 
= 18 ÷ 3
= 6

Number of boxes of 8 scones
= 16 - 6
= 10

Answer(s): (a) 110; (b) 10