PSLE
Lina baked a total of 44 large and small cakes in the ratio of 7 : 4. She decorated each cake with some grapes in the ratio of 3 : 2. She used a total of 195 grapes to decorate all the small cakes and 11 large cakes.

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

(a)
Number of large cakes
= ⁷₁₁ x 44
= 28

Number of small cakes
= 44 - 28
= 16

	Large cakes	Small cakes	Total
Number	11	16
Value	3 u	2 u
Total value	33 u	32 u	65 u

(b)
Number of grapes used to decorate 11 large cakes and 16 small cakes
= 33 u + 32 u
= 65 u

65 u = 195

1 u = 195 ÷ 65 = 3

Number of grapes used to decorate all the small cakes
= 32 u
= 32 x 3
= 96

(c)
Number of grapes to decorate one large cake
= 3 u
= 3 x 3
= 9

Number of remaining large cakes that were decorated yet
= 28 - 11
= 17

Number of more grapes that Lina needed to decorate the remaining large cakes
= 17 x 9
= 153

Answer(s): (a) 16; (b) 96; (c) 153