Xavier had lemons and chikoos. The ratio of lemons to chikoos was 9 : 4. After
45 of the lemons and 114 chikoos were sold, there were 9 times as many lemons as chikoos left. How many lemons and chikoos were there at first?
|
Lemons |
Chikoos |
Comparing lemons and chikoos at first |
9x5 = 45 u |
4x5 = 20 u |
Before |
5x9 = 45 u |
|
Change |
- 4x9 = - 36 u |
- 114 |
After |
1x9 = 9 u |
|
Comparing lemons and chikoos in the end |
9 u |
1 u |
The number of lemons at first is repeated. Make the number of lemons at first the same. LCM of 9 and 5 is 45.
Number of chikoos sold
= 20 u - 1 u
= 19 u
19 u = 114
1 u = 114 ÷ 19 = 6
Number of lemons and chikoos at first
= 45 u + 20 u
= 65 u
= 65 x 6
= 390
Answer(s): 390