PSLE Jen baked a total of 21 large and small cakes in the ratio of 5 : 2. She decorated each cake with some raspberries in the ratio of 7 : 3. She used a total of 322 raspberries to decorate all the small cakes and 4 large cakes.
- How many small cakes did Jen bake?
- What was the number of raspberries used to decorate all the small cakes?
- How many more raspberries did Jen need to decorate the remaining large cakes?
(a)
Fraction of the cakes that were large ones =
55 + 2 =
57Number of large cakes
=
57 x 21
= 15
Number of small cakes
= 21 - 15
= 6
|
Large cakes |
Small cakes |
Total |
Number |
4 |
6 |
|
Value |
7 u |
3 u |
|
Total value |
28 u |
18 u |
46 u |
(b)
Number of raspberries used to decorate 4 large cakes and 6 small cakes
= 28 u + 18 u
= 46 u
46 u = 322
1 u = 322 ÷ 46 = 7
Number of raspberries used to decorate all the small cakes
= 18 u
= 18 x 7
= 126
(c)
Number of raspberries to decorate one large cake
= 7 u
= 7 x 7
= 49
Number of remaining large cakes that were decorated yet
= 15 - 4
= 11
Number of more raspberries that Jen needed to decorate the remaining large cakes
= 11 x 49
= 539
Answer(s): (a) 6; (b) 126; (c) 539