There were 134 mangosteens and peaches altogether. After
56 of the mangosteens and half of the peaches were sold, there were a total of 37 mangosteens and peaches left. What fraction of the fruits were mangosteens at first? Give your answer in its simplest form.
|
Mangosteens |
Peaches |
Total |
Before |
6 u |
2 p |
134 |
Change |
- 5 u |
- 1 p |
- 97 |
After |
1 u |
1 p |
37 |
Number of mangosteens and peaches sold
= 134 - 37
= 97
5 u + 1 p = 97
1 p = 97 - 5 u --- (1)
1 u + 1 p = 37
1 p = 37 - 1 u --- (2)
(2) = (1)
37 - 1 u = 97 - 5 u
5 u - 1 u = 97 - 37
4 u = 60
1 u = 60 ÷ 4 = 15
Number of mangosteens at first
= 6 u
= 6 x 15
= 90
Fraction of the fruits that were mangosteens at first
=
90134 =
4567 Answer(s):
4567