PSLE Eva baked a total of 49 large and small cakes in the ratio of 5 : 2. She decorated each cake with some cherries in the ratio of 8 : 3. She used a total of 450 cherries to decorate all the small cakes and 6 large cakes.
- How many small cakes did Eva bake?
- What was the number of cherries used to decorate all the small cakes?
- How many more cherries did Eva need to decorate the remaining large cakes?
(a)
Fraction of the cakes that were large ones =
55 + 2 =
57Number of large cakes
=
57 x 49
= 35
Number of small cakes
= 49 - 35
= 14
|
Large cakes |
Small cakes |
Total |
Number |
6 |
14 |
|
Value |
8 u |
3 u |
|
Total value |
48 u |
42 u |
90 u |
(b)
Number of cherries used to decorate 6 large cakes and 14 small cakes
= 48 u + 42 u
= 90 u
90 u = 450
1 u = 450 ÷ 90 = 5
Number of cherries used to decorate all the small cakes
= 42 u
= 42 x 5
= 210
(c)
Number of cherries to decorate one large cake
= 8 u
= 8 x 5
= 40
Number of remaining large cakes that were decorated yet
= 35 - 6
= 29
Number of more cherries that Eva needed to decorate the remaining large cakes
= 29 x 40
= 1160
Answer(s): (a) 14; (b) 210; (c) 1160