There were 132 mangoes and peaches altogether. After
34 of the mangoes and half of the peaches were thrown away, there were a total of 44 mangoes and peaches left. What fraction of the fruits were peaches at first? Give your answer in its simplest form.
| |
Mangoes |
Peaches |
Total |
| Before |
4 u |
2 p |
132 |
| Change |
- 3 u |
- 1 p |
- 88 |
| After |
1 u |
1 p |
44 |
Number of mangoes and peaches thrown away
= 132 - 44
= 88
3 u + 1 p = 88
1 p = 88 - 3 u --- (1)
1 u + 1 p = 44
1 p = 44 - 1 u --- (2)
(2) = (1)
44 - 1 u = 88 - 3 u
3 u - 1 u = 88 - 44
2 u = 44
1 u = 44 ÷ 2 = 22
Number of mangoes at first
= 4 u
= 4 x 22
= 88
Number of peaches at first
= 132 - 88
= 44
Fraction of the fruits that were peaches at first
=
44132 =
13 Answer(s):
13 
