There were 299 mangosteens and mangoes in a fruit stall.
37 of the mangosteens and
35 of mangoes were sold. Given that there were 170 mangosteens and mangoes left, how many mangosteens were there in the fruit stall at first?
|
Mangosteens |
Mangoes |
Before |
7 u |
5 p |
Change |
- 3 u |
- 3 p |
After |
4 u |
2 p |
7 u + 5 p = 299 --- (1)
4 u + 2 p = 170 --- (2)
Make p the same.
(1)
x 2 14 u + 10 p = 598 --- (3)
(2)
x 5 20 u + 10 p = 850 --- (4)
(4) - (3)
20 u - 14 u = 850 - 598
6 u = 252
1 u = 252 ÷ 6 = 42
Number of mangosteens at first
= 7 u
= 7 x 42
= 294
Answer(s): 294