There were 246 persimmons and pears in a fruit stall.
310 of the persimmons and
37 of pears were sold. Given that there were 165 persimmons and pears left, how many persimmons were there in the fruit stall at first?
| |
Persimmons |
Pears |
| Before |
10 u |
7 p |
| Change |
- 3 u |
- 3 p |
| After |
7 u |
4 p |
10 u + 7 p = 246 --- (1)
7 u + 4 p = 165 --- (2)
Make p the same.
(1)
x 4 40 u + 28 p = 984 --- (3)
(2)
x 7 49 u + 28 p = 1155 --- (4)
(4) - (3)
49 u - 40 u = 1155 - 984
9 u = 171
1 u = 171 ÷ 9 = 19
Number of persimmons at first
= 10 u
= 10 x 19
= 190
Answer(s): 190
