There were 95 peaches and mangoes altogether. After
45 of the peaches and half of the mangoes were sold, there were a total of 46 peaches and mangoes left. What fraction of the fruits were mangoes at first? Give your answer in its simplest form.
| |
Peaches |
Mangoes |
Total |
| Before |
5 u |
2 p |
95 |
| Change |
- 4 u |
- 1 p |
- 49 |
| After |
1 u |
1 p |
46 |
Number of peaches and mangoes sold
= 95 - 46
= 49
4 u + 1 p = 49
1 p = 49 - 4 u --- (1)
1 u + 1 p = 46
1 p = 46 - 1 u --- (2)
(2) = (1)
46 - 1 u = 49 - 4 u
4 u - 1 u = 49 - 46
3 u = 3
1 u = 3 ÷ 3 = 1
Number of peaches at first
= 5 u
= 5 x 1
= 5
Number of mangoes at first
= 95 - 5
= 90
Fraction of the fruits that were mangoes at first
=
9095 =
1819 Answer(s):
1819 
