PSLE Fanny baked a total of 35 large and small cakes in the ratio of 4 : 3. She decorated each cake with some cranberries in the ratio of 5 : 3. She used a total of 420 cranberries to decorate all the small cakes and 5 large cakes.
- How many small cakes did Fanny bake?
- What was the number of cranberries used to decorate all the small cakes?
- How many more cranberries did Fanny 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 |
5 |
15 |
|
Value |
5 u |
3 u |
|
Total value |
25 u |
45 u |
70 u |
(b)
Number of cranberries used to decorate 5 large cakes and 15 small cakes
= 25 u + 45 u
= 70 u
70 u = 420
1 u = 420 ÷ 70 = 6
Number of cranberries used to decorate all the small cakes
= 45 u
= 45 x 6
= 270
(c)
Number of cranberries to decorate one large cake
= 5 u
= 5 x 6
= 30
Number of remaining large cakes that were decorated yet
= 20 - 5
= 15
Number of more cranberries that Fanny needed to decorate the remaining large cakes
= 15 x 30
= 450
Answer(s): (a) 15; (b) 270; (c) 450