There were 116 passion fruits and guavas altogether. After
78 of the passion fruits and half of the guavas were given away, there were a total of 28 passion fruits and guavas left. What fraction of the fruits were passion fruits at first? Give your answer in its simplest form.
|
Passion Fruits |
Guavas |
Total |
Before |
8 u |
2 p |
116 |
Change |
- 7 u |
- 1 p |
- 88 |
After |
1 u |
1 p |
28 |
Number of passion fruits and guavas given away
= 116 - 28
= 88
7 u + 1 p = 88
1 p = 88 - 7 u --- (1)
1 u + 1 p = 28
1 p = 28 - 1 u --- (2)
(2) = (1)
28 - 1 u = 88 - 7 u
7 u - 1 u = 88 - 28
6 u = 60
1 u = 60 ÷ 6 = 10
Number of passion fruits at first
= 8 u
= 8 x 10
= 80
Fraction of the fruits that were passion fruits at first
=
80116 =
2029 Answer(s):
2029