Fanny bought 20 apples and 10 lemons on Tuesday. Each day, she ate 3 apples and 1 lemon. She started eating her fruits on Wednesday.
- At the end of which day would there be an equal number of apples and lemons left? Give your answer in the following format. (Eg Monday)
- How many more lemons than apples were there on Monday?
| |
Apples |
Lemons |
| Before |
20 |
10 |
| Change |
- 3 u |
- 1 u |
| After |
20 - 3 u |
10 - 1 u |
(a)
Let the number of days be 1 u.
The number of lemons and apples in the end is equal.
20 - 3 u = 10 - 1 u
3 u - 1 u = 20 - 10
2 u = 10
1 u = 10 ÷ 2 = 5
Fanny ate for 5 days from Wednesday onwards. At the end of Sunday, there would be an equal number of apples and lemons left.
(b)
Number of days from Wednesday to Monday = 6
Number of apples left on Monday
= 20 - (3 x 6)
= 20 - 18
= 2
Number of lemons left on Monday
= 10 - (1 x 6)
= 10 - 6
= 4
Number of lemons more than apples
= 4 - 2
= 2
Answer(s): (a) Sunday; (b) 2
