There were 118 grapefruits and mangosteens altogether. After
56 of the grapefruits and half of the mangosteens were sold, there were a total of 31 grapefruits and mangosteens left. What fraction of the fruits were grapefruits at first? Give your answer in its simplest form.
| |
Grapefruits |
Mangosteens |
Total |
| Before |
6 u |
2 p |
118 |
| Change |
- 5 u |
- 1 p |
- 87 |
| After |
1 u |
1 p |
31 |
Number of grapefruits and mangosteens sold
= 118 - 31
= 87
5 u + 1 p = 87
1 p = 87 - 5 u --- (1)
1 u + 1 p = 31
1 p = 31 - 1 u --- (2)
(2) = (1)
31 - 1 u = 87 - 5 u
5 u - 1 u = 87 - 31
4 u = 56
1 u = 56 ÷ 4 = 14
Number of grapefruits at first
= 6 u
= 6 x 14
= 84
Fraction of the fruits that were grapefruits at first
=
84118 =
4259 Answer(s):
4259 
