There were 120 mangosteens and grapefruits altogether. After
67 of the mangosteens and half of the grapefruits were given away, there were a total of 25 mangosteens and grapefruits left. What fraction of the fruits were grapefruits at first? Give your answer in its simplest form.
| |
Mangosteens |
Grapefruits |
Total |
| Before |
7 u |
2 p |
120 |
| Change |
- 6 u |
- 1 p |
- 95 |
| After |
1 u |
1 p |
25 |
Number of mangosteens and grapefruits given away
= 120 - 25
= 95
6 u + 1 p = 95
1 p = 95 - 6 u --- (1)
1 u + 1 p = 25
1 p = 25 - 1 u --- (2)
(2) = (1)
25 - 1 u = 95 - 6 u
6 u - 1 u = 95 - 25
5 u = 70
1 u = 70 ÷ 5 = 14
Number of mangosteens at first
= 7 u
= 7 x 14
= 98
Number of grapefruits at first
= 120 - 98
= 22
Fraction of the fruits that were grapefruits at first
=
22120 =
1160 Answer(s):
1160 
