Diana bought 19 starfruits and 13 pears on Friday. Each day, she ate 3 starfruits and 1 pear. She started eating her fruits on Saturday.
- At the end of which day would there be an equal number of starfruits and pears left? Give your answer in the following format. (Eg Monday)
- How many more pears than starfruits were there on Tuesday?
|
Starfruits |
Pears |
Before |
19 |
13 |
Change |
- 3 u |
- 1 u |
After |
19 - 3 u |
13 - 1 u |
(a)
Let the number of days be 1 u.
The number of pears and starfruits in the end is equal.
19 - 3 u = 13 - 1 u
3 u - 1 u = 19 - 13
2 u = 6
1 u = 6 ÷ 2 = 3
Diana ate for 3 days from Saturday onwards. At the end of Monday, there would be an equal number of starfruits and pears left.
(b)
Number of days from Saturday to Tuesday = 4
Number of starfruits left on Tuesday
= 19 - (3 x 4)
= 19 - 12
= 7
Number of pears left on Tuesday
= 13 - (1 x 4)
= 13 - 4
= 9
Number of pears more than starfruits
= 9 - 7
= 2
Answer(s): (a) Monday; (b) 2