Emily bought 31 mangosteens and 16 oranges on Monday. Each day, she ate 4 mangosteens and 1 orange. She started eating her fruits on Tuesday.

1. At the end of which day would there be an equal number of mangosteens and oranges left? Give your answer in the following format. (Eg Monday)
2. How many more oranges than mangosteens were there on Sunday?

	Mangosteens	Oranges
Before	31	16
Change	- 4 u	- 1 u
After	31 - 4 u	16 - 1 u

(a)
Let the number of days be 1 u.

The number of oranges and mangosteens in the end is equal.

31 - 4 u = 16 - 1 u
4 u - 1 u = 31 - 16
3 u = 15

1 u = 15 ÷ 3 = 5

Emily ate for 5 days from Tuesday onwards.  At the end of Saturday, there would be an equal number of mangosteens and oranges left.

(b)
Number of days from Tuesday to Sunday = 6

Number of mangosteens left on Sunday
= 31 - (4 x 6)
= 31 - 24
= 7

Number of oranges left on Sunday
= 16 - (1 x 6)
= 16 - 6
= 10

Number of oranges more than mangosteens
= 10 - 7
= 3

Answer(s): (a) Saturday; (b) 3