There were 100 pears and mangoes altogether. After
45 of the pears and half of the mangoes were sold, there were a total of 41 pears and mangoes left. What fraction of the fruits were pears at first? Give your answer in its simplest form.
| |
Pears |
Mangoes |
Total |
| Before |
5 u |
2 p |
100 |
| Change |
- 4 u |
- 1 p |
- 59 |
| After |
1 u |
1 p |
41 |
Number of pears and mangoes sold
= 100 - 41
= 59
4 u + 1 p = 59
1 p = 59 - 4 u --- (1)
1 u + 1 p = 41
1 p = 41 - 1 u --- (2)
(2) = (1)
41 - 1 u = 59 - 4 u
4 u - 1 u = 59 - 41
3 u = 18
1 u = 18 ÷ 3 = 6
Number of pears at first
= 5 u
= 5 x 6
= 30
Fraction of the fruits that were pears at first
=
30100 =
310 Answer(s):
310 
