Irene bought 19 mangoes and 9 pears on Sunday. Each day, she ate 3 mangoes and 1 pear. She started eating her fruits on Monday.
- At the end of which day would there be an equal number of mangoes and pears left? Give your answer in the following format. (Eg Monday)
- How many more pears than mangoes were there on Saturday?
| |
Mangoes |
Pears |
| Before |
19 |
9 |
| Change |
- 3 u |
- 1 u |
| After |
19 - 3 u |
9 - 1 u |
(a)
Let the number of days be 1 u.
The number of pears and mangoes in the end is equal.
19 - 3 u = 9 - 1 u
3 u - 1 u = 19 - 9
2 u = 10
1 u = 10 ÷ 2 = 5
Irene ate for 5 days from Monday onwards. At the end of Friday, there would be an equal number of mangoes and pears left.
(b)
Number of days from Monday to Saturday = 6
Number of mangoes left on Saturday
= 19 - (3 x 6)
= 19 - 18
= 1
Number of pears left on Saturday
= 9 - (1 x 6)
= 9 - 6
= 3
Number of pears more than mangoes
= 3 - 1
= 2
Answer(s): (a) Friday; (b) 2
