There were 96 mangoes and mangosteens altogether. After
78 of the mangoes and half of the mangosteens were given away, there were a total of 21 mangoes and mangosteens left. What fraction of the fruits were mangosteens at first? Give your answer in its simplest form.
| |
Mangoes |
Mangosteens |
Total |
| Before |
8 u |
2 p |
96 |
| Change |
- 7 u |
- 1 p |
- 75 |
| After |
1 u |
1 p |
21 |
Number of mangoes and mangosteens given away
= 96 - 21
= 75
7 u + 1 p = 75
1 p = 75 - 7 u --- (1)
1 u + 1 p = 21
1 p = 21 - 1 u --- (2)
(2) = (1)
21 - 1 u = 75 - 7 u
7 u - 1 u = 75 - 21
6 u = 54
1 u = 54 ÷ 6 = 9
Number of mangoes at first
= 8 u
= 8 x 9
= 72
Number of mangosteens at first
= 96 - 72
= 24
Fraction of the fruits that were mangosteens at first
=
2496 =
14 Answer(s):
14 
