Wendy bought 34 persimmons and 19 chikoos on Monday. Each day, she ate 4 persimmons and 1 chikoo. She started eating her fruits on Tuesday.
- At the end of which day would there be an equal number of persimmons and chikoos left? Give your answer in the following format. (Eg Monday)
- How many more chikoos than persimmons were there on Sunday?
|
Persimmons |
Chikoos |
Before |
34 |
19 |
Change |
- 4 u |
- 1 u |
After |
34 - 4 u |
19 - 1 u |
(a)
Let the number of days be 1 u.
The number of chikoos and persimmons in the end is equal.
34 - 4 u = 19 - 1 u
4 u - 1 u = 34 - 19
3 u = 15
1 u = 15 ÷ 3 = 5
Wendy ate for 5 days from Tuesday onwards. At the end of Saturday, there would be an equal number of persimmons and chikoos left.
(b)
Number of days from Tuesday to Sunday = 6
Number of persimmons left on Sunday
= 34 - (4 x 6)
= 34 - 24
= 10
Number of chikoos left on Sunday
= 19 - (1 x 6)
= 19 - 6
= 13
Number of chikoos more than persimmons
= 13 - 10
= 3
Answer(s): (a) Saturday; (b) 3