There were 283 passion fruits and mangoes in a fruit stall.
49 of the passion fruits and
35 of mangoes were sold. Given that there were 186 passion fruits and mangoes left, how many passion fruits were there in the fruit stall at first?
|
Passion Fruits |
Mangoes |
Before |
9 u |
5 p |
Change |
- 4 u |
- 3 p |
After |
5 u |
2 p |
9 u + 5 p = 283 --- (1)
5 u + 2 p = 186 --- (2)
Make p the same.
(1)
x 2 18 u + 10 p = 566 --- (3)
(2)
x 5 25 u + 10 p = 930 --- (4)
(4) - (3)
25 u - 18 u = 930 - 566
7 u = 364
1 u = 364 ÷ 7 = 52
Number of passion fruits at first
= 9 u
= 9 x 52
= 468
Answer(s): 468