Emma bought 27 pomegranates and 12 lemons on Saturday. Each day, she ate 4 pomegranates and 1 lemon. She started eating her fruits on Sunday.
- At the end of which day would there be an equal number of pomegranates and lemons left? Give your answer in the following format. (Eg Monday)
- How many more lemons than pomegranates were there on Friday?
|
Pomegranates |
Lemons |
Before |
27 |
12 |
Change |
- 4 u |
- 1 u |
After |
27 - 4 u |
12 - 1 u |
(a)
Let the number of days be 1 u.
The number of lemons and pomegranates in the end is equal.
27 - 4 u = 12 - 1 u
4 u - 1 u = 27 - 12
3 u = 15
1 u = 15 ÷ 3 = 5
Emma ate for 5 days from Sunday onwards. At the end of Thursday, there would be an equal number of pomegranates and lemons left.
(b)
Number of days from Sunday to Friday = 6
Number of pomegranates left on Friday
= 27 - (4 x 6)
= 27 - 24
= 3
Number of lemons left on Friday
= 12 - (1 x 6)
= 12 - 6
= 6
Number of lemons more than pomegranates
= 6 - 3
= 3
Answer(s): (a) Thursday; (b) 3