Diana bought 25 oranges and 13 pomegranates on Friday. Each day, she ate 5 oranges and 1 pomegranate. She started eating her fruits on Saturday.
- At the end of which day would there be an equal number of oranges and pomegranates left? Give your answer in the following format. (Eg Monday)
- How many more pomegranates than oranges were there on Tuesday?
|
Oranges |
Pomegranates |
Before |
25 |
13 |
Change |
- 5 u |
- 1 u |
After |
25 - 5 u |
13 - 1 u |
(a)
Let the number of days be 1 u.
The number of pomegranates and oranges in the end is equal.
25 - 5 u = 13 - 1 u
5 u - 1 u = 25 - 13
4 u = 12
1 u = 12 ÷ 4 = 3
Diana ate for 3 days from Saturday onwards. At the end of Monday, there would be an equal number of oranges and pomegranates left.
(b)
Number of days from Saturday to Tuesday = 4
Number of oranges left on Tuesday
= 25 - (5 x 4)
= 25 - 20
= 5
Number of pomegranates left on Tuesday
= 13 - (1 x 4)
= 13 - 4
= 9
Number of pomegranates more than oranges
= 9 - 5
= 4
Answer(s): (a) Monday; (b) 4