Sarah bought 31 mangoes and 16 chikoos on Wednesday. Each day, she ate 4 mangoes and 1 chikoo. She started eating her fruits on Thursday.
- At the end of which day would there be an equal number of mangoes and chikoos left? Give your answer in the following format. (Eg Monday)
- How many more chikoos than mangoes were there on Tuesday?
|
Mangoes |
Chikoos |
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 chikoos and mangoes 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
Sarah ate for 5 days from Thursday onwards. At the end of Monday, there would be an equal number of mangoes and chikoos left.
(b)
Number of days from Thursday to Tuesday = 6
Number of mangoes left on Tuesday
= 31 - (4 x 6)
= 31 - 24
= 7
Number of chikoos left on Tuesday
= 16 - (1 x 6)
= 16 - 6
= 10
Number of chikoos more than mangoes
= 10 - 7
= 3
Answer(s): (a) Monday; (b) 3