PSLE
Jaslyn baked a total of 33 large and small cakes in the ratio of 8 : 3. She decorated each cake with some lychees in the ratio of 7 : 2. She used a total of 222 lychees to decorate all the small cakes and 8 large cakes.

1. How many small cakes did Jaslyn bake?
2. What was the number of lychees used to decorate all the small cakes?
3. How many more lychees did Jaslyn need to decorate the remaining large cakes?

(a)
Fraction of the cakes that were large ones = ⁸_{8 + 3} = ⁸₁₁

Number of large cakes
= ⁸₁₁ x 33
= 24

Number of small cakes
= 33 - 24
= 9

	Large cakes	Small cakes	Total
Number	8	9
Value	7 u	2 u
Total value	56 u	18 u	74 u

(b)
Number of lychees used to decorate 8 large cakes and 9 small cakes
= 56 u + 18 u
= 74 u

74 u = 222

1 u = 222 ÷ 74 = 3

Number of lychees used to decorate all the small cakes
= 18 u
= 18 x 3
= 54

(c)
Number of lychees to decorate one large cake
= 7 u
= 7 x 3
= 21

Number of remaining large cakes that were decorated yet
= 24 - 8
= 16

Number of more lychees that Jaslyn needed to decorate the remaining large cakes
= 16 x 21
= 336

Answer(s): (a) 9; (b) 54; (c) 336