There were 243 mangosteens and pears in a fruit stall.
49 of the mangosteens and
35 of pears were sold. Given that there were 184 mangosteens and pears left, how many mangosteens were there in the fruit stall at first?
|
Mangosteens |
Pears |
Before |
9 u |
5 p |
Change |
- 4 u |
- 3 p |
After |
5 u |
2 p |
9 u + 5 p = 243 --- (1)
5 u + 2 p = 184 --- (2)
Make p the same.
(1)
x 2 18 u + 10 p = 486 --- (3)
(2)
x 5 25 u + 10 p = 920 --- (4)
(4) - (3)
25 u - 18 u = 920 - 486
7 u = 434
1 u = 434 ÷ 7 = 62
Number of mangosteens at first
= 9 u
= 9 x 62
= 558
Answer(s): 558