There were 138 lemons and mangoes altogether. After
45 of the lemons and half of the mangoes were given away, there were a total of 45 lemons and mangoes left. What fraction of the fruits were lemons at first? Give your answer in its simplest form.
| |
Lemons |
Mangoes |
Total |
| Before |
5 u |
2 p |
138 |
| Change |
- 4 u |
- 1 p |
- 93 |
| After |
1 u |
1 p |
45 |
Number of lemons and mangoes given away
= 138 - 45
= 93
4 u + 1 p = 93
1 p = 93 - 4 u --- (1)
1 u + 1 p = 45
1 p = 45 - 1 u --- (2)
(2) = (1)
45 - 1 u = 93 - 4 u
4 u - 1 u = 93 - 45
3 u = 48
1 u = 48 ÷ 3 = 16
Number of lemons at first
= 5 u
= 5 x 16
= 80
Fraction of the fruits that were lemons at first
=
80138 =
4069 Answer(s):
4069 
