There were 126 starfruits and mangoes altogether. After
78 of the starfruits and half of the mangoes were sold, there were a total of 27 starfruits and mangoes left. What fraction of the fruits were mangoes at first? Give your answer in its simplest form.
| |
Starfruits |
Mangoes |
Total |
| Before |
8 u |
2 p |
126 |
| Change |
- 7 u |
- 1 p |
- 99 |
| After |
1 u |
1 p |
27 |
Number of starfruits and mangoes sold
= 126 - 27
= 99
7 u + 1 p = 99
1 p = 99 - 7 u --- (1)
1 u + 1 p = 27
1 p = 27 - 1 u --- (2)
(2) = (1)
27 - 1 u = 99 - 7 u
7 u - 1 u = 99 - 27
6 u = 72
1 u = 72 ÷ 6 = 12
Number of starfruits at first
= 8 u
= 8 x 12
= 96
Number of mangoes at first
= 126 - 96
= 30
Fraction of the fruits that were mangoes at first
=
30126 =
521 Answer(s):
521 
