There were 102 peaches and mangoes altogether. After
78 of the peaches and half of the mangoes were thrown away, there were a total of 27 peaches and mangoes left. What fraction of the fruits were peaches at first? Give your answer in its simplest form.
| |
Peaches |
Mangoes |
Total |
| Before |
8 u |
2 p |
102 |
| Change |
- 7 u |
- 1 p |
- 75 |
| After |
1 u |
1 p |
27 |
Number of peaches and mangoes thrown away
= 102 - 27
= 75
7 u + 1 p = 75
1 p = 75 - 7 u --- (1)
1 u + 1 p = 27
1 p = 27 - 1 u --- (2)
(2) = (1)
27 - 1 u = 75 - 7 u
7 u - 1 u = 75 - 27
6 u = 48
1 u = 48 ÷ 6 = 8
Number of peaches at first
= 8 u
= 8 x 8
= 64
Fraction of the fruits that were peaches at first
=
64102 =
3251 Answer(s):
3251 
