Emily bought 20 mangosteens and 14 mangoes on Wednesday. Each day, she ate 3 mangosteens and 1 mango. She started eating her fruits on Thursday.
- At the end of which day would there be an equal number of mangosteens and mangoes left? Give your answer in the following format. (Eg Monday)
- How many more mangoes than mangosteens were there on Sunday?
|
Mangosteens |
Mangoes |
Before |
20 |
14 |
Change |
- 3 u |
- 1 u |
After |
20 - 3 u |
14 - 1 u |
(a)
Let the number of days be 1 u.
The number of mangoes and mangosteens in the end is equal.
20 - 3 u = 14 - 1 u
3 u - 1 u = 20 - 14
2 u = 6
1 u = 6 ÷ 2 = 3
Emily ate for 3 days from Thursday onwards. At the end of Saturday, there would be an equal number of mangosteens and mangoes left.
(b)
Number of days from Thursday to Sunday = 4
Number of mangosteens left on Sunday
= 20 - (3 x 4)
= 20 - 12
= 8
Number of mangoes left on Sunday
= 14 - (1 x 4)
= 14 - 4
= 10
Number of mangoes more than mangosteens
= 10 - 8
= 2
Answer(s): (a) Saturday; (b) 2