There were 291 pomegranates and oranges in a fruit stall.
27 of the pomegranates and
35 of oranges were sold. Given that there were 156 pomegranates and oranges left, how many pomegranates were there in the fruit stall at first?
|
Pomegranates |
Oranges |
Before |
7 u |
5 p |
Change |
- 2 u |
- 3 p |
After |
5 u |
2 p |
7 u + 5 p = 291 --- (1)
5 u + 2 p = 156 --- (2)
Make p the same.
(1)
x 2 14 u + 10 p = 582 --- (3)
(2)
x 5 25 u + 10 p = 780 --- (4)
(4) - (3)
25 u - 14 u = 780 - 582
11 u = 198
1 u = 198 ÷ 11 = 18
Number of pomegranates at first
= 7 u
= 7 x 18
= 126
Answer(s): 126