There were 93 pears and mangoes altogether. After
67 of the pears and half of the mangoes were sold, there were a total of 39 pears and mangoes left. What fraction of the fruits were pears at first? Give your answer in its simplest form.
| |
Pears |
Mangoes |
Total |
| Before |
7 u |
2 p |
93 |
| Change |
- 6 u |
- 1 p |
- 54 |
| After |
1 u |
1 p |
39 |
Number of pears and mangoes sold
= 93 - 39
= 54
6 u + 1 p = 54
1 p = 54 - 6 u --- (1)
1 u + 1 p = 39
1 p = 39 - 1 u --- (2)
(2) = (1)
39 - 1 u = 54 - 6 u
6 u - 1 u = 54 - 39
5 u = 15
1 u = 15 ÷ 5 = 3
Number of pears at first
= 7 u
= 7 x 3
= 21
Fraction of the fruits that were pears at first
=
2193 =
731 Answer(s):
731 
