There were 282 mangosteens and apples in a fruit stall.
49 of the mangosteens and
35 of apples were sold. Given that there were 166 mangosteens and apples left, how many mangosteens were there in the fruit stall at first?
|
Mangosteens |
Apples |
Before |
9 u |
5 p |
Change |
- 4 u |
- 3 p |
After |
5 u |
2 p |
9 u + 5 p = 282 --- (1)
5 u + 2 p = 166 --- (2)
Make p the same.
(1)
x 2 18 u + 10 p = 564 --- (3)
(2)
x 5 25 u + 10 p = 830 --- (4)
(4) - (3)
25 u - 18 u = 830 - 564
7 u = 266
1 u = 266 ÷ 7 = 38
Number of mangosteens at first
= 9 u
= 9 x 38
= 342
Answer(s): 342