PSLE Marion baked a total of 30 large and small cakes in the ratio of 7 : 3. She decorated each cake with some cranberries in the ratio of 3 : 2. She used a total of 288 cranberries to decorate all the small cakes and 10 large cakes.
- How many small cakes did Marion bake?
- What was the number of cranberries used to decorate all the small cakes?
- How many more cranberries did Marion need to decorate the remaining large cakes?
(a)
Fraction of the cakes that were large ones =
77 + 3 =
710Number of large cakes
=
710 x 30
= 21
Number of small cakes
= 30 - 21
= 9
|
Large cakes |
Small cakes |
Total |
Number |
10 |
9 |
|
Value |
3 u |
2 u |
|
Total value |
30 u |
18 u |
48 u |
(b)
Number of cranberries used to decorate 10 large cakes and 9 small cakes
= 30 u + 18 u
= 48 u
48 u = 288
1 u = 288 ÷ 48 = 6
Number of cranberries used to decorate all the small cakes
= 18 u
= 18 x 6
= 108
(c)
Number of cranberries to decorate one large cake
= 3 u
= 3 x 6
= 18
Number of remaining large cakes that were decorated yet
= 21 - 10
= 11
Number of more cranberries that Marion needed to decorate the remaining large cakes
= 11 x 18
= 198
Answer(s): (a) 9; (b) 108; (c) 198