PSLE
Julie baked a total of 36 large and small cakes in the ratio of 7 : 2. She decorated each cake with some blueberries in the ratio of 5 : 2. She used a total of 228 blueberries to decorate all the small cakes and 12 large cakes.

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

(a)
Fraction of the cakes that were large ones = ⁷_{7 + 2} = ⁷₉

Number of large cakes
= ⁷₉ x 36
= 28

Number of small cakes
= 36 - 28
= 8

	Large cakes	Small cakes	Total
Number	12	8
Value	5 u	2 u
Total value	60 u	16 u	76 u

(b)
Number of blueberries used to decorate 12 large cakes and 8 small cakes
= 60 u + 16 u
= 76 u

76 u = 228

1 u = 228 ÷ 76 = 3

Number of blueberries used to decorate all the small cakes
= 16 u
= 16 x 3
= 48

(c)
Number of blueberries to decorate one large cake
= 5 u
= 5 x 3
= 15

Number of remaining large cakes that were decorated yet
= 28 - 12
= 16

Number of more blueberries that Julie needed to decorate the remaining large cakes
= 16 x 15
= 240

Answer(s): (a) 8; (b) 48; (c) 240