There were 290 passion fruits and starfruits in a fruit stall.
37 of the passion fruits and
35 of starfruits were sold. Given that there were 188 passion fruits and starfruits left, how many passion fruits were there in the fruit stall at first?
|
Passion Fruits |
Starfruits |
Before |
7 u |
5 p |
Change |
- 3 u |
- 3 p |
After |
4 u |
2 p |
7 u + 5 p = 290 --- (1)
4 u + 2 p = 188 --- (2)
Make p the same.
(1)
x 2 14 u + 10 p = 580 --- (3)
(2)
x 5 20 u + 10 p = 940 --- (4)
(4) - (3)
20 u - 14 u = 940 - 580
6 u = 360
1 u = 360 ÷ 6 = 60
Number of passion fruits at first
= 7 u
= 7 x 60
= 420
Answer(s): 420