Jeremy had grapefruits and starfruits. The ratio of grapefruits to starfruits was 6 : 5. After
45 of the grapefruits and 120 starfruits were sold, there were 6 times as many grapefruits as starfruits left. How many grapefruits and starfruits were there at first?
| |
Grapefruits |
Starfruits |
Comparing grapefruits
and starfruits at first |
6x5 =
30 u |
5x5 =
25 u |
| Before |
5x6 =
30 u |
|
| Change |
- 4x6 =
- 24 u |
- 120 |
| After |
1x6 =
6 u |
|
Comparing grapefruits
and starfruits in the end |
6 u |
1 u |
The number of grapefruits at first is repeated. Make the number of grapefruits at first the same. LCM of 6 and 5 is 30.
Number of starfruits sold
= 25 u - 1 u
= 24 u
24 u = 120
1 u = 120 ÷ 24 = 5
Number of grapefruits and starfruits at first
= 30 u + 25 u
= 55 u
= 55 x 5
= 275
Answer(s): 275
