Ivan had starfruits and pomegranates. The ratio of starfruits to pomegranates was 5 : 3. After
34 of the starfruits and 55 pomegranates were sold, there were 5 times as many starfruits as pomegranates left. How many starfruits and pomegranates were sold?
|
Starfruits |
Pomegranates |
Comparing starfruits and pomegranates at first |
5x4 = 20 u |
3x4 = 12 u |
Before |
4x5 = 20 u |
|
Change |
- 3x5 = - 15 u |
- 55 |
After |
1x5 = 5 u |
|
Comparing starfruits and pomegranates in the end |
5 u |
1 u |
The number of starfruits at first is repeated. Make the number of starfruits at first the same. LCM of 5 and 4 is 20.
Number of pomegranates sold
= 12 u - 1 u
= 11 u
11 u = 55
1 u = 55 ÷ 11 = 5
Number of starfruits and pomegranates sold
= 15 u + 55
= 15 x 5 + 55
= 75 + 55
= 130
Answer(s): 130