There were 249 pears and persimmons in a fruit stall.
49 of the pears and
35 of persimmons were sold. Given that there were 185 pears and persimmons left, how many pears were there in the fruit stall at first?
|
Pears |
Persimmons |
Before |
9 u |
5 p |
Change |
- 4 u |
- 3 p |
After |
5 u |
2 p |
9 u + 5 p = 249 --- (1)
5 u + 2 p = 185 --- (2)
Make p the same.
(1)
x 2 18 u + 10 p = 498 --- (3)
(2)
x 5 25 u + 10 p = 925 --- (4)
(4) - (3)
25 u - 18 u = 925 - 498
7 u = 427
1 u = 427 ÷ 7 = 61
Number of pears at first
= 9 u
= 9 x 61
= 549
Answer(s): 549