There were 125 mangoes and guavas altogether. After
45 of the mangoes and half of the guavas were given away, there were a total of 43 mangoes and guavas left. What fraction of the fruits were guavas at first? Give your answer in its simplest form.
| |
Mangoes |
Guavas |
Total |
| Before |
5 u |
2 p |
125 |
| Change |
- 4 u |
- 1 p |
- 82 |
| After |
1 u |
1 p |
43 |
Number of mangoes and guavas given away
= 125 - 43
= 82
4 u + 1 p = 82
1 p = 82 - 4 u --- (1)
1 u + 1 p = 43
1 p = 43 - 1 u --- (2)
(2) = (1)
43 - 1 u = 82 - 4 u
4 u - 1 u = 82 - 43
3 u = 39
1 u = 39 ÷ 3 = 13
Number of mangoes at first
= 5 u
= 5 x 13
= 65
Number of guavas at first
= 125 - 65
= 60
Fraction of the fruits that were guavas at first
=
60125 =
1225 Answer(s):
1225 
