PSLE Mary baked a total of 21 large and small cakes in the ratio of 4 : 3. She decorated each cake with some grapes in the ratio of 7 : 2. She used a total of 268 grapes to decorate all the small cakes and 7 large cakes.
- How many small cakes did Mary bake?
- What was the number of grapes used to decorate all the small cakes?
- How many more grapes did Mary need to decorate the remaining large cakes?
(a)
Fraction of the cakes that were large ones =
44 + 3 =
47Number of large cakes
=
47 x 21
= 12
Number of small cakes
= 21 - 12
= 9
|
Large cakes |
Small cakes |
Total |
Number |
7 |
9 |
|
Value |
7 u |
2 u |
|
Total value |
49 u |
18 u |
67 u |
(b)
Number of grapes used to decorate 7 large cakes and 9 small cakes
= 49 u + 18 u
= 67 u
67 u = 268
1 u = 268 ÷ 67 = 4
Number of grapes used to decorate all the small cakes
= 18 u
= 18 x 4
= 72
(c)
Number of grapes to decorate one large cake
= 7 u
= 7 x 4
= 28
Number of remaining large cakes that were decorated yet
= 12 - 7
= 5
Number of more grapes that Mary needed to decorate the remaining large cakes
= 5 x 28
= 140
Answer(s): (a) 9; (b) 72; (c) 140