Kathy bought 32 pomegranates and 17 mangoes on Friday. Each day, she ate 4 pomegranates and 1 mango. She started eating her fruits on Saturday.
- At the end of which day would there be an equal number of pomegranates and mangoes left? Give your answer in the following format. (Eg Monday)
- How many more mangoes than pomegranates were there on Thursday?
|
Pomegranates |
Mangoes |
Before |
32 |
17 |
Change |
- 4 u |
- 1 u |
After |
32 - 4 u |
17 - 1 u |
(a)
Let the number of days be 1 u.
The number of mangoes and pomegranates in the end is equal.
32 - 4 u = 17 - 1 u
4 u - 1 u = 32 - 17
3 u = 15
1 u = 15 ÷ 3 = 5
Kathy ate for 5 days from Saturday onwards. At the end of Wednesday, there would be an equal number of pomegranates and mangoes left.
(b)
Number of days from Saturday to Thursday = 6
Number of pomegranates left on Thursday
= 32 - (4 x 6)
= 32 - 24
= 8
Number of mangoes left on Thursday
= 17 - (1 x 6)
= 17 - 6
= 11
Number of mangoes more than pomegranates
= 11 - 8
= 3
Answer(s): (a) Wednesday; (b) 3