There were 94 passion fruits and pears altogether. After
45 of the passion fruits and half of the pears were given away, there were a total of 20 passion fruits and pears left. What fraction of the fruits were passion fruits at first? Give your answer in its simplest form.
|
Passion Fruits |
Pears |
Total |
Before |
5 u |
2 p |
94 |
Change |
- 4 u |
- 1 p |
- 74 |
After |
1 u |
1 p |
20 |
Number of passion fruits and pears given away
= 94 - 20
= 74
4 u + 1 p = 74
1 p = 74 - 4 u --- (1)
1 u + 1 p = 20
1 p = 20 - 1 u --- (2)
(2) = (1)
20 - 1 u = 74 - 4 u
4 u - 1 u = 74 - 20
3 u = 54
1 u = 54 ÷ 3 = 18
Number of passion fruits at first
= 5 u
= 5 x 18
= 90
Fraction of the fruits that were passion fruits at first
=
9094 =
4547 Answer(s):
4547