PSLE Ivory baked a total of 33 large and small cakes in the ratio of 8 : 3. She decorated each cake with some strawberries in the ratio of 7 : 2. She used a total of 300 strawberries to decorate all the small cakes and 6 large cakes.
- How many small cakes did Ivory bake?
- What was the number of strawberries used to decorate all the small cakes?
- How many more strawberries did Ivory need to decorate the remaining large cakes?
(a)
Fraction of the cakes that were large ones =
88 + 3 =
811Number of large cakes
=
811 x 33
= 24
Number of small cakes
= 33 - 24
= 9
|
Large cakes |
Small cakes |
Total |
Number |
6 |
9 |
|
Value |
7 u |
2 u |
|
Total value |
42 u |
18 u |
60 u |
(b)
Number of strawberries used to decorate 6 large cakes and 9 small cakes
= 42 u + 18 u
= 60 u
60 u = 300
1 u = 300 ÷ 60 = 5
Number of strawberries used to decorate all the small cakes
= 18 u
= 18 x 5
= 90
(c)
Number of strawberries to decorate one large cake
= 7 u
= 7 x 5
= 35
Number of remaining large cakes that were decorated yet
= 24 - 6
= 18
Number of more strawberries that Ivory needed to decorate the remaining large cakes
= 18 x 35
= 630
Answer(s): (a) 9; (b) 90; (c) 630