Sam had mangosteens and chikoos. The ratio of mangosteens to chikoos was 9 : 5. After
45 of the mangosteens and 192 chikoos were sold, there were 9 times as many mangosteens as chikoos left. How many mangosteens and chikoos were sold?
|
Mangosteens |
Chikoos |
Comparing mangosteens and chikoos at first |
9x5 = 45 u |
5x5 = 25 u |
Before |
5x9 = 45 u |
|
Change |
- 4x9 = - 36 u |
- 192 |
After |
1x9 = 9 u |
|
Comparing mangosteens and chikoos in the end |
9 u |
1 u |
The number of mangosteens at first is repeated. Make the number of mangosteens at first the same. LCM of 9 and 5 is 45.
Number of chikoos sold
= 25 u - 1 u
= 24 u
24 u = 192
1 u = 192 ÷ 24 = 8
Number of mangosteens and chikoos sold
= 36 u + 192
= 36 x 8 + 192
= 288 + 192
= 480
Answer(s): 480