Erika bought 19 apples and 11 pears on Thursday. Each day, she ate 3 apples and 1 pear. She started eating her fruits on Friday.
- At the end of which day would there be an equal number of apples and pears left? Give your answer in the following format. (Eg Monday)
- How many more pears than apples were there on Tuesday?
| |
Apples |
Pears |
| Before |
19 |
11 |
| Change |
- 3 u |
- 1 u |
| After |
19 - 3 u |
11 - 1 u |
(a)
Let the number of days be 1 u.
The number of pears and apples in the end is equal.
19 - 3 u = 11 - 1 u
3 u - 1 u = 19 - 11
2 u = 8
1 u = 8 ÷ 2 = 4
Erika ate for 4 days from Friday onwards. At the end of Monday, there would be an equal number of apples and pears left.
(b)
Number of days from Friday to Tuesday = 5
Number of apples left on Tuesday
= 19 - (3 x 5)
= 19 - 15
= 4
Number of pears left on Tuesday
= 11 - (1 x 5)
= 11 - 5
= 6
Number of pears more than apples
= 6 - 4
= 2
Answer(s): (a) Monday; (b) 2
