Rachel bought 33 starfruits and 18 passion fruits on Wednesday. Each day, she ate 4 starfruits and 1 passion fruit. She started eating her fruits on Thursday.
- At the end of which day would there be an equal number of starfruits and passion fruits left? Give your answer in the following format. (Eg Monday)
- How many more passion fruits than starfruits were there on Tuesday?
|
Starfruits |
Passion Fruits |
Before |
33 |
18 |
Change |
- 4 u |
- 1 u |
After |
33 - 4 u |
18 - 1 u |
(a)
Let the number of days be 1 u.
The number of passion fruits and starfruits in the end is equal.
33 - 4 u = 18 - 1 u
4 u - 1 u = 33 - 18
3 u = 15
1 u = 15 ÷ 3 = 5
Rachel ate for 5 days from Thursday onwards. At the end of Monday, there would be an equal number of starfruits and passion fruits left.
(b)
Number of days from Thursday to Tuesday = 6
Number of starfruits left on Tuesday
= 33 - (4 x 6)
= 33 - 24
= 9
Number of passion fruits left on Tuesday
= 18 - (1 x 6)
= 18 - 6
= 12
Number of passion fruits more than starfruits
= 12 - 9
= 3
Answer(s): (a) Monday; (b) 3