Cathy bought 27 oranges and 11 apples on Sunday. Each day, she ate 5 oranges and 1 apple. She started eating her fruits on Monday.
- At the end of which day would there be an equal number of oranges and apples left? Give your answer in the following format. (Eg Monday)
- How many more apples than oranges were there on Friday?
| |
Oranges |
Apples |
| Before |
27 |
11 |
| Change |
- 5 u |
- 1 u |
| After |
27 - 5 u |
11 - 1 u |
(a)
Let the number of days be 1 u.
The number of apples and oranges in the end is equal.
27 - 5 u = 11 - 1 u
5 u - 1 u = 27 - 11
4 u = 16
1 u = 16 ÷ 4 = 4
Cathy ate for 4 days from Monday onwards. At the end of Thursday, there would be an equal number of oranges and apples left.
(b)
Number of days from Monday to Friday = 5
Number of oranges left on Friday
= 27 - (5 x 5)
= 27 - 25
= 2
Number of apples left on Friday
= 11 - (1 x 5)
= 11 - 5
= 6
Number of apples more than oranges
= 6 - 2
= 4
Answer(s): (a) Thursday; (b) 4
