Ian had mangoes and starfruits. The ratio of mangoes to starfruits was 8 : 7. After
14 of the mangoes and 36 starfruits were sold, there were 6 times as many mangoes as starfruits left. How many mangoes and starfruits were there at first?
|
Mangoes |
Starfruits |
Comparing mangoes and starfruits at first |
8x1 = 8 u |
7x1 = 7 u |
Before |
4x2 = 8 u |
|
Change |
- 1x2 = - 2 u |
- 36 |
After |
3x2 = 6 u |
|
Comparing mangoes and starfruits in the end |
6 u |
1 u |
The number of mangoes at first is repeated. Make the number of mangoes at first the same. LCM of 8 and 4 is 8.
Number of starfruits sold
= 7 u - 1 u
= 6 u
6 u = 36
1 u = 36 ÷ 6 = 6
Number of mangoes and starfruits at first
= 8 u + 7 u
= 15 u
= 15 x 6
= 90
Answer(s): 90