Asher had grapefruits and persimmons. The ratio of grapefruits to persimmons was 8 : 5. After
45 of the grapefruits and 216 persimmons were sold, there were 8 times as many grapefruits as persimmons left. How many grapefruits and persimmons were there at first?
|
Grapefruits |
Persimmons |
Comparing grapefruits and persimmons at first |
8x5 = 40 u |
5x5 = 25 u |
Before |
5x8 = 40 u |
|
Change |
- 4x8 = - 32 u |
- 216 |
After |
1x8 = 8 u |
|
Comparing grapefruits and persimmons in the end |
8 u |
1 u |
The number of grapefruits at first is repeated. Make the number of grapefruits at first the same. LCM of 8 and 5 is 40.
Number of persimmons sold
= 25 u - 1 u
= 24 u
24 u = 216
1 u = 216 ÷ 24 = 9
Number of grapefruits and persimmons at first
= 40 u + 25 u
= 65 u
= 65 x 9
= 585
Answer(s): 585