PSLE
Jaslyn 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 8 : 5. She used a total of 224 grapes to decorate all the small cakes and 4 large cakes.

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

(a)
Fraction of the cakes that were large ones = ⁷_{7 + 4} = ⁷₁₁

Number of large cakes
= ⁷₁₁ x 44
= 28

Number of small cakes
= 44 - 28
= 16

	Large cakes	Small cakes	Total
Number	4	16
Value	8 u	5 u
Total value	32 u	80 u	112 u

(b)
Number of grapes used to decorate 4 large cakes and 16 small cakes
= 32 u + 80 u
= 112 u

112 u = 224

1 u = 224 ÷ 112 = 2

Number of grapes used to decorate all the small cakes
= 80 u
= 80 x 2
= 160

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

Number of remaining large cakes that were decorated yet
= 28 - 4
= 24

Number of more grapes that Jaslyn needed to decorate the remaining large cakes
= 24 x 16
= 384

Answer(s): (a) 16; (b) 160; (c) 384