There were 124 peaches and mangoes altogether. After
56 of the peaches and half of the mangoes were given away, there were a total of 34 peaches and mangoes left. What fraction of the fruits were mangoes at first? Give your answer in its simplest form.
| |
Peaches |
Mangoes |
Total |
| Before |
6 u |
2 p |
124 |
| Change |
- 5 u |
- 1 p |
- 90 |
| After |
1 u |
1 p |
34 |
Number of peaches and mangoes given away
= 124 - 34
= 90
5 u + 1 p = 90
1 p = 90 - 5 u --- (1)
1 u + 1 p = 34
1 p = 34 - 1 u --- (2)
(2) = (1)
34 - 1 u = 90 - 5 u
5 u - 1 u = 90 - 34
4 u = 56
1 u = 56 ÷ 4 = 14
Number of peaches at first
= 6 u
= 6 x 14
= 84
Number of mangoes at first
= 124 - 84
= 40
Fraction of the fruits that were mangoes at first
=
40124 =
1031 Answer(s):
1031 
