PSLE
Hilda baked a total of 33 large and small cakes in the ratio of 8 : 3. She decorated each cake with some grapes in the ratio of 7 : 3. She used a total of 496 grapes to decorate all the small cakes and 5 large cakes.

1. How many small cakes did Hilda bake?
2. What was the number of grapes used to decorate all the small cakes?
3. How many more grapes did Hilda 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	5	9
Value	7 u	3 u
Total value	35 u	27 u	62 u

(b)
Number of grapes used to decorate 5 large cakes and 9 small cakes
= 35 u + 27 u
= 62 u

62 u = 496

1 u = 496 ÷ 62 = 8

Number of grapes used to decorate all the small cakes
= 27 u
= 27 x 8
= 216

(c)
Number of grapes to decorate one large cake
= 7 u
= 7 x 8
= 56

Number of remaining large cakes that were decorated yet
= 24 - 5
= 19

Number of more grapes that Hilda needed to decorate the remaining large cakes
= 19 x 56
= 1064

Answer(s): (a) 9; (b) 216; (c) 1064