There were 140 mangosteens and grapefruits altogether. After
56 of the mangosteens and half of the grapefruits were sold, there were a total of 50 mangosteens and grapefruits left. What fraction of the fruits were grapefruits at first? Give your answer in its simplest form.
| |
Mangosteens |
Grapefruits |
Total |
| Before |
6 u |
2 p |
140 |
| Change |
- 5 u |
- 1 p |
- 90 |
| After |
1 u |
1 p |
50 |
Number of mangosteens and grapefruits sold
= 140 - 50
= 90
5 u + 1 p = 90
1 p = 90 - 5 u --- (1)
1 u + 1 p = 50
1 p = 50 - 1 u --- (2)
(2) = (1)
50 - 1 u = 90 - 5 u
5 u - 1 u = 90 - 50
4 u = 40
1 u = 40 ÷ 4 = 10
Number of mangosteens at first
= 6 u
= 6 x 10
= 60
Number of grapefruits at first
= 140 - 60
= 80
Fraction of the fruits that were grapefruits at first
=
80140 =
47 Answer(s):
47 
