PSLE
Diana baked a total of 27 large and small cakes in the ratio of 7 : 2. She decorated each cake with some strawberries in the ratio of 7 : 2. She used a total of 492 strawberries to decorate all the small cakes and 10 large cakes.

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

(a)
Fraction of the cakes that were large ones = ⁷_{7 + 2} = ⁷₉

Number of large cakes
= ⁷₉ x 27
= 21

Number of small cakes
= 27 - 21
= 6

	Large cakes	Small cakes	Total
Number	10	6
Value	7 u	2 u
Total value	70 u	12 u	82 u

(b)
Number of strawberries used to decorate 10 large cakes and 6 small cakes
= 70 u + 12 u
= 82 u

82 u = 492

1 u = 492 ÷ 82 = 6

Number of strawberries used to decorate all the small cakes
= 12 u
= 12 x 6
= 72

(c)
Number of strawberries to decorate one large cake
= 7 u
= 7 x 6
= 42

Number of remaining large cakes that were decorated yet
= 21 - 10
= 11

Number of more strawberries that Diana needed to decorate the remaining large cakes
= 11 x 42
= 462

Answer(s): (a) 6; (b) 72; (c) 462