PSLE
Lina baked a total of 24 large and small cakes in the ratio of 7 : 5. She decorated each cake with some cranberries in the ratio of 7 : 4. She used a total of 328 cranberries to decorate all the small cakes and 6 large cakes.

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

(a)
Number of large cakes
= ⁷₁₂ x 24
= 14

Number of small cakes
= 24 - 14
= 10

	Large cakes	Small cakes	Total
Number	6	10
Value	7 u	4 u
Total value	42 u	40 u	82 u

(b)
Number of cranberries used to decorate 6 large cakes and 10 small cakes
= 42 u + 40 u
= 82 u

82 u = 328

1 u = 328 ÷ 82 = 4

Number of cranberries used to decorate all the small cakes
= 40 u
= 40 x 4
= 160

(c)
Number of cranberries to decorate one large cake
= 7 u
= 7 x 4
= 28

Number of remaining large cakes that were decorated yet
= 14 - 6
= 8

Number of more cranberries that Lina needed to decorate the remaining large cakes
= 8 x 28
= 224

Answer(s): (a) 10; (b) 160; (c) 224