PSLE Julie baked a total of 35 large and small cakes in the ratio of 4 : 3. She decorated each cake with some lychees in the ratio of 7 : 2. She used a total of 158 lychees to decorate all the small cakes and 7 large cakes.
- How many small cakes did Julie bake?
- What was the number of lychees used to decorate all the small cakes?
- How many more lychees did Julie need to decorate the remaining large cakes?
(a)
Fraction of the cakes that were large ones =
44 + 3 =
47Number of large cakes
=
47 x 35
= 20
Number of small cakes
= 35 - 20
= 15
|
Large cakes |
Small cakes |
Total |
Number |
7 |
15 |
|
Value |
7 u |
2 u |
|
Total value |
49 u |
30 u |
79 u |
(b)
Number of lychees used to decorate 7 large cakes and 15 small cakes
= 49 u + 30 u
= 79 u
79 u = 158
1 u = 158 ÷ 79 = 2
Number of lychees used to decorate all the small cakes
= 30 u
= 30 x 2
= 60
(c)
Number of lychees to decorate one large cake
= 7 u
= 7 x 2
= 14
Number of remaining large cakes that were decorated yet
= 20 - 7
= 13
Number of more lychees that Julie needed to decorate the remaining large cakes
= 13 x 14
= 182
Answer(s): (a) 15; (b) 60; (c) 182