PSLE
Usha baked a total of 26 large and small cakes in the ratio of 8 : 5. She decorated each cake with some raspberries in the ratio of 5 : 2. She used a total of 175 raspberries to decorate all the small cakes and 3 large cakes.

1. How many small cakes did Usha bake?
2. What was the number of raspberries used to decorate all the small cakes?
3. How many more raspberries did Usha 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	3	10
Value	5 u	2 u
Total value	15 u	20 u	35 u

(b)
Number of raspberries used to decorate 3 large cakes and 10 small cakes
= 15 u + 20 u
= 35 u

35 u = 175

1 u = 175 ÷ 35 = 5

Number of raspberries used to decorate all the small cakes
= 20 u
= 20 x 5
= 100

(c)
Number of raspberries to decorate one large cake
= 5 u
= 5 x 5
= 25

Number of remaining large cakes that were decorated yet
= 16 - 3
= 13

Number of more raspberries that Usha needed to decorate the remaining large cakes
= 13 x 25
= 325

Answer(s): (a) 10; (b) 100; (c) 325