Ivory bought 28 persimmons and 19 lemons on Monday. Each day, she ate 4 persimmons and 1 lemon. She started eating her fruits on Tuesday.
- At the end of which day would there be an equal number of persimmons and lemons left? Give your answer in the following format. (Eg Monday)
- How many more lemons than persimmons were there on Friday?
|
Persimmons |
Lemons |
Before |
28 |
19 |
Change |
- 4 u |
- 1 u |
After |
28 - 4 u |
19 - 1 u |
(a)
Let the number of days be 1 u.
The number of lemons and persimmons in the end is equal.
28 - 4 u = 19 - 1 u
4 u - 1 u = 28 - 19
3 u = 9
1 u = 9 ÷ 3 = 3
Ivory ate for 3 days from Tuesday onwards. At the end of Thursday, there would be an equal number of persimmons and lemons left.
(b)
Number of days from Tuesday to Friday = 4
Number of persimmons left on Friday
= 28 - (4 x 4)
= 28 - 16
= 12
Number of lemons left on Friday
= 19 - (1 x 4)
= 19 - 4
= 15
Number of lemons more than persimmons
= 15 - 12
= 3
Answer(s): (a) Thursday; (b) 3