Betty bought 23 mangoes and 17 lemons on Friday. Each day, she ate 3 mangoes and 1 lemon. She started eating her fruits on Saturday.
- At the end of which day would there be an equal number of mangoes and lemons left? Give your answer in the following format. (Eg Monday)
- How many more lemons than mangoes were there on Tuesday?
| |
Mangoes |
Lemons |
| Before |
23 |
17 |
| Change |
- 3 u |
- 1 u |
| After |
23 - 3 u |
17 - 1 u |
(a)
Let the number of days be 1 u.
The number of lemons and mangoes in the end is equal.
23 - 3 u = 17 - 1 u
3 u - 1 u = 23 - 17
2 u = 6
1 u = 6 ÷ 2 = 3
Betty ate for 3 days from Saturday onwards. At the end of Monday, there would be an equal number of mangoes and lemons left.
(b)
Number of days from Saturday to Tuesday = 4
Number of mangoes left on Tuesday
= 23 - (3 x 4)
= 23 - 12
= 11
Number of lemons left on Tuesday
= 17 - (1 x 4)
= 17 - 4
= 13
Number of lemons more than mangoes
= 13 - 11
= 2
Answer(s): (a) Monday; (b) 2
