Xavier had grapefruits and starfruits. The ratio of grapefruits to starfruits was 8 : 5. After
14 of the grapefruits and 24 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 |
8x1 =
8 u |
5x1 =
5 u |
| Before |
4x2 =
8 u |
|
| Change |
- 1x2 =
- 2 u |
- 24 |
| After |
3x2 =
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 8 and 4 is 8.
Number of starfruits sold
= 5 u - 1 u
= 4 u
4 u = 24
1 u = 24 ÷ 4 = 6
Number of grapefruits and starfruits at first
= 8 u + 5 u
= 13 u
= 13 x 6
= 78
Answer(s): 78
