There were 133 grapefruits and mangoes altogether. After
67 of the grapefruits and half of the mangoes were sold, there were a total of 49 grapefruits and mangoes left. What fraction of the fruits were grapefruits at first? Give your answer in its simplest form.
|
Grapefruits |
Mangoes |
Total |
Before |
7 u |
2 p |
133 |
Change |
- 6 u |
- 1 p |
- 84 |
After |
1 u |
1 p |
49 |
Number of grapefruits and mangoes sold
= 133 - 49
= 84
6 u + 1 p = 84
1 p = 84 - 6 u --- (1)
1 u + 1 p = 49
1 p = 49 - 1 u --- (2)
(2) = (1)
49 - 1 u = 84 - 6 u
6 u - 1 u = 84 - 49
5 u = 35
1 u = 35 ÷ 5 = 7
Number of grapefruits at first
= 7 u
= 7 x 7
= 49
Fraction of the fruits that were grapefruits at first
=
49133 =
719 Answer(s):
719