Penelope bought 28 starfruits and 12 pomegranates on Saturday. Each day, she ate 5 starfruits and 1 pomegranate. She started eating her fruits on Sunday.
- At the end of which day would there be an equal number of starfruits and pomegranates left? Give your answer in the following format. (Eg Monday)
- How many more pomegranates than starfruits were there on Thursday?
|
Starfruits |
Pomegranates |
Before |
28 |
12 |
Change |
- 5 u |
- 1 u |
After |
28 - 5 u |
12 - 1 u |
(a)
Let the number of days be 1 u.
The number of pomegranates and starfruits in the end is equal.
28 - 5 u = 12 - 1 u
5 u - 1 u = 28 - 12
4 u = 16
1 u = 16 ÷ 4 = 4
Penelope ate for 4 days from Sunday onwards. At the end of Wednesday, there would be an equal number of starfruits and pomegranates left.
(b)
Number of days from Sunday to Thursday = 5
Number of starfruits left on Thursday
= 28 - (5 x 5)
= 28 - 25
= 3
Number of pomegranates left on Thursday
= 12 - (1 x 5)
= 12 - 5
= 7
Number of pomegranates more than starfruits
= 7 - 3
= 4
Answer(s): (a) Wednesday; (b) 4