There were 130 guavas and mangosteens altogether. After
78 of the guavas and half of the mangosteens were given away, there were a total of 29 guavas and mangosteens left. What fraction of the fruits were mangosteens at first? Give your answer in its simplest form.
| |
Guavas |
Mangosteens |
Total |
| Before |
8 u |
2 p |
130 |
| Change |
- 7 u |
- 1 p |
- 101 |
| After |
1 u |
1 p |
29 |
Number of guavas and mangosteens given away
= 130 - 29
= 101
7 u + 1 p = 101
1 p = 101 - 7 u --- (1)
1 u + 1 p = 29
1 p = 29 - 1 u --- (2)
(2) = (1)
29 - 1 u = 101 - 7 u
7 u - 1 u = 101 - 29
6 u = 72
1 u = 72 ÷ 6 = 12
Number of guavas at first
= 8 u
= 8 x 12
= 96
Number of mangosteens at first
= 130 - 96
= 34
Fraction of the fruits that were mangosteens at first
=
34130 =
1765 Answer(s):
1765 
