PSLE Nora baked a total of 35 large and small cakes in the ratio of 5 : 2. She decorated each cake with some cherries in the ratio of 7 : 4. She used a total of 136 cherries to decorate all the small cakes and 4 large cakes.
- How many small cakes did Nora bake?
- What was the number of cherries used to decorate all the small cakes?
- How many more cherries did Nora need to decorate the remaining large cakes?
(a)
Fraction of the cakes that were large ones =
55 + 2 =
57Number of large cakes
=
57 x 35
= 25
Number of small cakes
= 35 - 25
= 10
|
Large cakes |
Small cakes |
Total |
Number |
4 |
10 |
|
Value |
7 u |
4 u |
|
Total value |
28 u |
40 u |
68 u |
(b)
Number of cherries used to decorate 4 large cakes and 10 small cakes
= 28 u + 40 u
= 68 u
68 u = 136
1 u = 136 ÷ 68 = 2
Number of cherries used to decorate all the small cakes
= 40 u
= 40 x 2
= 80
(c)
Number of cherries to decorate one large cake
= 7 u
= 7 x 2
= 14
Number of remaining large cakes that were decorated yet
= 25 - 4
= 21
Number of more cherries that Nora needed to decorate the remaining large cakes
= 21 x 14
= 294
Answer(s): (a) 10; (b) 80; (c) 294