There were 118 mangoes and peaches altogether. After
34 of the mangoes and half of the peaches were sold, there were a total of 42 mangoes and peaches left. What fraction of the fruits were mangoes at first? Give your answer in its simplest form.
| |
Mangoes |
Peaches |
Total |
| Before |
4 u |
2 p |
118 |
| Change |
- 3 u |
- 1 p |
- 76 |
| After |
1 u |
1 p |
42 |
Number of mangoes and peaches sold
= 118 - 42
= 76
3 u + 1 p = 76
1 p = 76 - 3 u --- (1)
1 u + 1 p = 42
1 p = 42 - 1 u --- (2)
(2) = (1)
42 - 1 u = 76 - 3 u
3 u - 1 u = 76 - 42
2 u = 34
1 u = 34 ÷ 2 = 17
Number of mangoes at first
= 4 u
= 4 x 17
= 68
Fraction of the fruits that were mangoes at first
=
68118 =
3459 Answer(s):
3459 
