There were 343 lemons and mangoes in a fruit stall.
49 of the lemons and
35 of mangoes were sold. Given that there were 175 lemons and mangoes left, how many lemons were there in the fruit stall at first?
|
Lemons |
Mangoes |
Before |
9 u |
5 p |
Change |
- 4 u |
- 3 p |
After |
5 u |
2 p |
9 u + 5 p = 343 --- (1)
5 u + 2 p = 175 --- (2)
Make p the same.
(1)
x 2 18 u + 10 p = 686 --- (3)
(2)
x 5 25 u + 10 p = 875 --- (4)
(4) - (3)
25 u - 18 u = 875 - 686
7 u = 189
1 u = 189 ÷ 7 = 27
Number of lemons at first
= 9 u
= 9 x 27
= 243
Answer(s): 243