There were 132 pears and mangoes altogether. After
78 of the pears and half of the mangoes were given away, there were a total of 24 pears and mangoes left. What fraction of the fruits were pears at first? Give your answer in its simplest form.
|
Pears |
Mangoes |
Total |
Before |
8 u |
2 p |
132 |
Change |
- 7 u |
- 1 p |
- 108 |
After |
1 u |
1 p |
24 |
Number of pears and mangoes given away
= 132 - 24
= 108
7 u + 1 p = 108
1 p = 108 - 7 u --- (1)
1 u + 1 p = 24
1 p = 24 - 1 u --- (2)
(2) = (1)
24 - 1 u = 108 - 7 u
7 u - 1 u = 108 - 24
6 u = 84
1 u = 84 ÷ 6 = 14
Number of pears at first
= 8 u
= 8 x 14
= 112
Fraction of the fruits that were pears at first
=
112132 =
2833 Answer(s):
2833