Penelope bought 26 kiwis and 11 persimmons on Wednesday. Each day, she ate 4 kiwis and 1 persimmon. She started eating her fruits on Thursday.
- At the end of which day would there be an equal number of kiwis and persimmons left? Give your answer in the following format. (Eg Monday)
- How many more persimmons than kiwis were there on Tuesday?
|
Kiwis |
Persimmons |
Before |
26 |
11 |
Change |
- 4 u |
- 1 u |
After |
26 - 4 u |
11 - 1 u |
(a)
Let the number of days be 1 u.
The number of persimmons and kiwis in the end is equal.
26 - 4 u = 11 - 1 u
4 u - 1 u = 26 - 11
3 u = 15
1 u = 15 ÷ 3 = 5
Penelope ate for 5 days from Thursday onwards. At the end of Monday, there would be an equal number of kiwis and persimmons left.
(b)
Number of days from Thursday to Tuesday = 6
Number of kiwis left on Tuesday
= 26 - (4 x 6)
= 26 - 24
= 2
Number of persimmons left on Tuesday
= 11 - (1 x 6)
= 11 - 6
= 5
Number of persimmons more than kiwis
= 5 - 2
= 3
Answer(s): (a) Monday; (b) 3