There were 321 mangoes and mangosteens in a fruit stall.
27 of the mangoes and
35 of mangosteens were sold. Given that there were 179 mangoes and mangosteens left, how many mangoes were there in the fruit stall at first?
|
Mangoes |
Mangosteens |
Before |
7 u |
5 p |
Change |
- 2 u |
- 3 p |
After |
5 u |
2 p |
7 u + 5 p = 321 --- (1)
5 u + 2 p = 179 --- (2)
Make p the same.
(1)
x 2 14 u + 10 p = 642 --- (3)
(2)
x 5 25 u + 10 p = 895 --- (4)
(4) - (3)
25 u - 14 u = 895 - 642
11 u = 253
1 u = 253 ÷ 11 = 23
Number of mangoes at first
= 7 u
= 7 x 23
= 161
Answer(s): 161