Pamela bought 26 pears and 14 pomegranates on Friday. Each day, she ate 5 pears and 1 pomegranate. She started eating her fruits on Saturday.
- At the end of which day would there be an equal number of pears and pomegranates left? Give your answer in the following format. (Eg Monday)
- How many more pomegranates than pears were there on Tuesday?
|
Pears |
Pomegranates |
Before |
26 |
14 |
Change |
- 5 u |
- 1 u |
After |
26 - 5 u |
14 - 1 u |
(a)
Let the number of days be 1 u.
The number of pomegranates and pears in the end is equal.
26 - 5 u = 14 - 1 u
5 u - 1 u = 26 - 14
4 u = 12
1 u = 12 ÷ 4 = 3
Pamela ate for 3 days from Saturday onwards. At the end of Monday, there would be an equal number of pears and pomegranates left.
(b)
Number of days from Saturday to Tuesday = 4
Number of pears left on Tuesday
= 26 - (5 x 4)
= 26 - 20
= 6
Number of pomegranates left on Tuesday
= 14 - (1 x 4)
= 14 - 4
= 10
Number of pomegranates more than pears
= 10 - 6
= 4
Answer(s): (a) Monday; (b) 4