PSLE Elyse baked a total of 42 large and small cakes in the ratio of 4 : 3. She decorated each cake with some lychees in the ratio of 3 : 2. She used a total of 420 lychees to decorate all the small cakes and 8 large cakes.
- How many small cakes did Elyse bake?
- What was the number of lychees used to decorate all the small cakes?
- How many more lychees did Elyse need to decorate the remaining large cakes?
(a)
Fraction of the cakes that were large ones =
44 + 3 =
47Number of large cakes
=
47 x 42
= 24
Number of small cakes
= 42 - 24
= 18
|
Large cakes |
Small cakes |
Total |
Number |
8 |
18 |
|
Value |
3 u |
2 u |
|
Total value |
24 u |
36 u |
60 u |
(b)
Number of lychees used to decorate 8 large cakes and 18 small cakes
= 24 u + 36 u
= 60 u
60 u = 420
1 u = 420 ÷ 60 = 7
Number of lychees used to decorate all the small cakes
= 36 u
= 36 x 7
= 252
(c)
Number of lychees to decorate one large cake
= 3 u
= 3 x 7
= 21
Number of remaining large cakes that were decorated yet
= 24 - 8
= 16
Number of more lychees that Elyse needed to decorate the remaining large cakes
= 16 x 21
= 336
Answer(s): (a) 18; (b) 252; (c) 336