Elyse bought 19 pomegranates and 13 kiwis on Monday. Each day, she ate 3 pomegranates and 1 kiwi. She started eating her fruits on Tuesday.
- At the end of which day would there be an equal number of pomegranates and kiwis left? Give your answer in the following format. (Eg Monday)
- How many more kiwis than pomegranates were there on Friday?
|
Pomegranates |
Kiwis |
Before |
19 |
13 |
Change |
- 3 u |
- 1 u |
After |
19 - 3 u |
13 - 1 u |
(a)
Let the number of days be 1 u.
The number of kiwis and pomegranates in the end is equal.
19 - 3 u = 13 - 1 u
3 u - 1 u = 19 - 13
2 u = 6
1 u = 6 ÷ 2 = 3
Elyse ate for 3 days from Tuesday onwards. At the end of Thursday, there would be an equal number of pomegranates and kiwis left.
(b)
Number of days from Tuesday to Friday = 4
Number of pomegranates left on Friday
= 19 - (3 x 4)
= 19 - 12
= 7
Number of kiwis left on Friday
= 13 - (1 x 4)
= 13 - 4
= 9
Number of kiwis more than pomegranates
= 9 - 7
= 2
Answer(s): (a) Thursday; (b) 2