There were 98 passion fruits and lemons altogether. After
56 of the passion fruits and half of the lemons were given away, there were a total of 47 passion fruits and lemons left. What fraction of the fruits were passion fruits at first? Give your answer in its simplest form.
|
Passion Fruits |
Lemons |
Total |
Before |
6 u |
2 p |
98 |
Change |
- 5 u |
- 1 p |
- 51 |
After |
1 u |
1 p |
47 |
Number of passion fruits and lemons given away
= 98 - 47
= 51
5 u + 1 p = 51
1 p = 51 - 5 u --- (1)
1 u + 1 p = 47
1 p = 47 - 1 u --- (2)
(2) = (1)
47 - 1 u = 51 - 5 u
5 u - 1 u = 51 - 47
4 u = 4
1 u = 4 ÷ 4 = 1
Number of passion fruits at first
= 6 u
= 6 x 1
= 6
Fraction of the fruits that were passion fruits at first
=
698 =
349 Answer(s):
349