PSLE Pamela baked a total of 42 large and small cakes in the ratio of 4 : 3. She decorated each cake with some raspberries in the ratio of 8 : 3. She used a total of 330 raspberries to decorate all the small cakes and 7 large cakes.
- How many small cakes did Pamela bake?
- What was the number of raspberries used to decorate all the small cakes?
- How many more raspberries did Pamela 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 |
7 |
18 |
|
Value |
8 u |
3 u |
|
Total value |
56 u |
54 u |
110 u |
(b)
Number of raspberries used to decorate 7 large cakes and 18 small cakes
= 56 u + 54 u
= 110 u
110 u = 330
1 u = 330 ÷ 110 = 3
Number of raspberries used to decorate all the small cakes
= 54 u
= 54 x 3
= 162
(c)
Number of raspberries to decorate one large cake
= 8 u
= 8 x 3
= 24
Number of remaining large cakes that were decorated yet
= 24 - 7
= 17
Number of more raspberries that Pamela needed to decorate the remaining large cakes
= 17 x 24
= 408
Answer(s): (a) 18; (b) 162; (c) 408