Xuan bought 26 kiwis and 14 mangosteens on Saturday. Each day, she ate 4 kiwis and 1 mangosteen. She started eating her fruits on Sunday.
- At the end of which day would there be an equal number of kiwis and mangosteens left? Give your answer in the following format. (Eg Monday)
- How many more mangosteens than kiwis were there on Thursday?
|
Kiwis |
Mangosteens |
Before |
26 |
14 |
Change |
- 4 u |
- 1 u |
After |
26 - 4 u |
14 - 1 u |
(a)
Let the number of days be 1 u.
The number of mangosteens and kiwis in the end is equal.
26 - 4 u = 14 - 1 u
4 u - 1 u = 26 - 14
3 u = 12
1 u = 12 ÷ 3 = 4
Xuan ate for 4 days from Sunday onwards. At the end of Wednesday, there would be an equal number of kiwis and mangosteens left.
(b)
Number of days from Sunday to Thursday = 5
Number of kiwis left on Thursday
= 26 - (4 x 5)
= 26 - 20
= 6
Number of mangosteens left on Thursday
= 14 - (1 x 5)
= 14 - 5
= 9
Number of mangosteens more than kiwis
= 9 - 6
= 3
Answer(s): (a) Wednesday; (b) 3