PSLE Jean 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 : 3. She used a total of 202 lychees to decorate all the small cakes and 8 large cakes.
- How many small cakes did Jean bake?
- What was the number of lychees used to decorate all the small cakes?
- How many more lychees did Jean 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 |
8 |
15 |
|
Value |
7 u |
3 u |
|
Total value |
56 u |
45 u |
101 u |
(b)
Number of lychees used to decorate 8 large cakes and 15 small cakes
= 56 u + 45 u
= 101 u
101 u = 202
1 u = 202 ÷ 101 = 2
Number of lychees used to decorate all the small cakes
= 45 u
= 45 x 2
= 90
(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 - 8
= 12
Number of more lychees that Jean needed to decorate the remaining large cakes
= 12 x 14
= 168
Answer(s): (a) 15; (b) 90; (c) 168