PSLE Lina baked a total of 32 large and small cakes in the ratio of 5 : 3. She decorated each cake with some cherries in the ratio of 3 : 2. She used a total of 360 cherries to decorate all the small cakes and 4 large cakes.
- How many small cakes did Lina bake?
- What was the number of cherries used to decorate all the small cakes?
- How many more cherries did Lina need to decorate the remaining large cakes?
(a)
Number of large cakes
=
58 x 32
= 20
Number of small cakes
= 32 - 20
= 12
|
Large cakes |
Small cakes |
Total |
Number |
4 |
12 |
|
Value |
3 u |
2 u |
|
Total value |
12 u |
24 u |
36 u |
(b)
Number of cherries used to decorate 4 large cakes and 12 small cakes
= 12 u + 24 u
= 36 u
36 u = 360
1 u = 360 ÷ 36 = 10
Number of cherries used to decorate all the small cakes
= 24 u
= 24 x 10
= 240
(c)
Number of cherries to decorate one large cake
= 3 u
= 3 x 10
= 30
Number of remaining large cakes that were decorated yet
= 20 - 4
= 16
Number of more cherries that Lina needed to decorate the remaining large cakes
= 16 x 30
= 480
Answer(s): (a) 12; (b) 240; (c) 480