PSLE
Marion baked a total of 33 large and small cakes in the ratio of 8 : 3. She decorated each cake with some blueberries in the ratio of 8 : 5. She used a total of 266 blueberries to decorate all the small cakes and 11 large cakes.

1. How many small cakes did Marion bake?
2. What was the number of blueberries used to decorate all the small cakes?
3. How many more blueberries did Marion 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	11	9
Value	8 u	5 u
Total value	88 u	45 u	133 u

(b)
Number of blueberries used to decorate 11 large cakes and 9 small cakes
= 88 u + 45 u
= 133 u

133 u = 266

1 u = 266 ÷ 133 = 2

Number of blueberries used to decorate all the small cakes
= 45 u
= 45 x 2
= 90

(c)
Number of blueberries to decorate one large cake
= 8 u
= 8 x 2
= 16

Number of remaining large cakes that were decorated yet
= 24 - 11
= 13

Number of more blueberries that Marion needed to decorate the remaining large cakes
= 13 x 16
= 208

Answer(s): (a) 9; (b) 90; (c) 208