There were 106 mangoes and pomegranates altogether. After
78 of the mangoes and half of the pomegranates were given away, there were a total of 29 mangoes and pomegranates left. What fraction of the fruits were mangoes at first? Give your answer in its simplest form.
| |
Mangoes |
Pomegranates |
Total |
| Before |
8 u |
2 p |
106 |
| Change |
- 7 u |
- 1 p |
- 77 |
| After |
1 u |
1 p |
29 |
Number of mangoes and pomegranates given away
= 106 - 29
= 77
7 u + 1 p = 77
1 p = 77 - 7 u --- (1)
1 u + 1 p = 29
1 p = 29 - 1 u --- (2)
(2) = (1)
29 - 1 u = 77 - 7 u
7 u - 1 u = 77 - 29
6 u = 48
1 u = 48 ÷ 6 = 8
Number of mangoes at first
= 8 u
= 8 x 8
= 64
Fraction of the fruits that were mangoes at first
=
64106 =
3253 Answer(s):
3253 
