PSLE
Zoe baked a total of 26 large and small cakes in the ratio of 8 : 5. She decorated each cake with some cranberries in the ratio of 8 : 3. She used a total of 350 cranberries to decorate all the small cakes and 5 large cakes.

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

(a)
Fraction of the cakes that were large ones = ⁸_{8 + 5} = ⁸₁₃

Number of large cakes
= ⁸₁₃ x 26
= 16

Number of small cakes
= 26 - 16
= 10

	Large cakes	Small cakes	Total
Number	5	10
Value	8 u	3 u
Total value	40 u	30 u	70 u

(b)
Number of cranberries used to decorate 5 large cakes and 10 small cakes
= 40 u + 30 u
= 70 u

70 u = 350

1 u = 350 ÷ 70 = 5

Number of cranberries used to decorate all the small cakes
= 30 u
= 30 x 5
= 150

(c)
Number of cranberries to decorate one large cake
= 8 u
= 8 x 5
= 40

Number of remaining large cakes that were decorated yet
= 16 - 5
= 11

Number of more cranberries that Zoe needed to decorate the remaining large cakes
= 11 x 40
= 440

Answer(s): (a) 10; (b) 150; (c) 440