Archie had guavas and lemons. The ratio of guavas to lemons was 9 : 5. After
45 of the guavas and 144 lemons were sold, there were 9 times as many guavas as lemons left. How many guavas and lemons were there at first?
|
Guavas |
Lemons |
Comparing guavas and lemons at first |
9x5 = 45 u |
5x5 = 25 u |
Before |
5x9 = 45 u |
|
Change |
- 4x9 = - 36 u |
- 144 |
After |
1x9 = 9 u |
|
Comparing guavas and lemons in the end |
9 u |
1 u |
The number of guavas at first is repeated. Make the number of guavas at first the same. LCM of 9 and 5 is 45.
Number of lemons sold
= 25 u - 1 u
= 24 u
24 u = 144
1 u = 144 ÷ 24 = 6
Number of guavas and lemons at first
= 45 u + 25 u
= 70 u
= 70 x 6
= 420
Answer(s): 420