Sean had dragonfruits and chikoos. The ratio of dragonfruits to chikoos was 9 : 4. After
12 of the dragonfruits and 28 chikoos were sold, there were 9 times as many dragonfruits as chikoos left. How many dragonfruits and chikoos were there at first?
|
Dragonfruits |
Chikoos |
Comparing dragonfruits and chikoos at first |
9x2 = 18 u |
4x2 = 8 u |
Before |
2x9 = 18 u |
|
Change |
- 1x9 = - 9 u |
- 28 |
After |
1x9 = 9 u |
|
Comparing dragonfruits and chikoos in the end |
9 u |
1 u |
The number of dragonfruits at first is repeated. Make the number of dragonfruits at first the same. LCM of 9 and 2 is 18.
Number of chikoos sold
= 8 u - 1 u
= 7 u
7 u = 28
1 u = 28 ÷ 7 = 4
Number of dragonfruits and chikoos at first
= 18 u + 8 u
= 26 u
= 26 x 4
= 104
Answer(s): 104