PSLE
Jade baked a total of 22 large and small cakes in the ratio of 8 : 3. She decorated each cake with some cherries in the ratio of 3 : 2. She used a total of 144 cherries to decorate all the small cakes and 8 large cakes.

1. How many small cakes did Jade bake?
2. What was the number of cherries used to decorate all the small cakes?
3. How many more cherries did Jade 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 22
= 16

Number of small cakes
= 22 - 16
= 6

	Large cakes	Small cakes	Total
Number	8	6
Value	3 u	2 u
Total value	24 u	12 u	36 u

(b)
Number of cherries used to decorate 8 large cakes and 6 small cakes
= 24 u + 12 u
= 36 u

36 u = 144

1 u = 144 ÷ 36 = 4

Number of cherries used to decorate all the small cakes
= 12 u
= 12 x 4
= 48

(c)
Number of cherries to decorate one large cake
= 3 u
= 3 x 4
= 12

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

Number of more cherries that Jade needed to decorate the remaining large cakes
= 8 x 12
= 96

Answer(s): (a) 6; (b) 48; (c) 96