There were 291 mangoes and passion fruits in a fruit stall.
37 of the mangoes and
35 of passion fruits were sold. Given that there were 144 mangoes and passion fruits left, how many mangoes were there in the fruit stall at first?
|
Mangoes |
Passion Fruits |
Before |
7 u |
5 p |
Change |
- 3 u |
- 3 p |
After |
4 u |
2 p |
7 u + 5 p = 291 --- (1)
4 u + 2 p = 144 --- (2)
Make p the same.
(1)
x 2 14 u + 10 p = 582 --- (3)
(2)
x 5 20 u + 10 p = 720 --- (4)
(4) - (3)
20 u - 14 u = 720 - 582
6 u = 138
1 u = 138 ÷ 6 = 23
Number of mangoes at first
= 7 u
= 7 x 23
= 161
Answer(s): 161