There were 278 mangoes and pomegranates in a fruit stall.
37 of the mangoes and
35 of pomegranates were sold. Given that there were 194 mangoes and pomegranates left, how many mangoes were there in the fruit stall at first?
|
Mangoes |
Pomegranates |
Before |
7 u |
5 p |
Change |
- 3 u |
- 3 p |
After |
4 u |
2 p |
7 u + 5 p = 278 --- (1)
4 u + 2 p = 194 --- (2)
Make p the same.
(1)
x 2 14 u + 10 p = 556 --- (3)
(2)
x 5 20 u + 10 p = 970 --- (4)
(4) - (3)
20 u - 14 u = 970 - 556
6 u = 414
1 u = 414 ÷ 6 = 69
Number of mangoes at first
= 7 u
= 7 x 69
= 483
Answer(s): 483