There were 108 kiwis and guavas altogether. After
45 of the kiwis and half of the guavas were given away, there were a total of 33 kiwis and guavas left. What fraction of the fruits were kiwis at first? Give your answer in its simplest form.
| |
Kiwis |
Guavas |
Total |
| Before |
5 u |
2 p |
108 |
| Change |
- 4 u |
- 1 p |
- 75 |
| After |
1 u |
1 p |
33 |
Number of kiwis and guavas given away
= 108 - 33
= 75
4 u + 1 p = 75
1 p = 75 - 4 u --- (1)
1 u + 1 p = 33
1 p = 33 - 1 u --- (2)
(2) = (1)
33 - 1 u = 75 - 4 u
4 u - 1 u = 75 - 33
3 u = 42
1 u = 42 ÷ 3 = 14
Number of kiwis at first
= 5 u
= 5 x 14
= 70
Fraction of the fruits that were kiwis at first
=
70108 =
3554 Answer(s):
3554 
