Kylie bought 22 starfruits and 12 pomegranates on Sunday. Each day, she ate 3 starfruits and 1 pomegranate. She started eating her fruits on Monday.
- 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 Saturday?
|
Starfruits |
Pomegranates |
Before |
22 |
12 |
Change |
- 3 u |
- 1 u |
After |
22 - 3 u |
12 - 1 u |
(a)
Let the number of days be 1 u.
The number of pomegranates and starfruits in the end is equal.
22 - 3 u = 12 - 1 u
3 u - 1 u = 22 - 12
2 u = 10
1 u = 10 ÷ 2 = 5
Kylie ate for 5 days from Monday onwards. At the end of Friday, there would be an equal number of starfruits and pomegranates left.
(b)
Number of days from Monday to Saturday = 6
Number of starfruits left on Saturday
= 22 - (3 x 6)
= 22 - 18
= 4
Number of pomegranates left on Saturday
= 12 - (1 x 6)
= 12 - 6
= 6
Number of pomegranates more than starfruits
= 6 - 4
= 2
Answer(s): (a) Friday; (b) 2