Zane had kiwis and mangosteens. The ratio of kiwis to mangosteens was 6 : 5. After
45 of the kiwis and 216 mangosteens were sold, there were 6 times as many kiwis as mangosteens left. How many kiwis and mangosteens were sold?
|
Kiwis |
Mangosteens |
Comparing kiwis and mangosteens at first |
6x5 = 30 u |
5x5 = 25 u |
Before |
5x6 = 30 u |
|
Change |
- 4x6 = - 24 u |
- 216 |
After |
1x6 = 6 u |
|
Comparing kiwis and mangosteens in the end |
6 u |
1 u |
The number of kiwis at first is repeated. Make the number of kiwis at first the same. LCM of 6 and 5 is 30.
Number of mangosteens sold
= 25 u - 1 u
= 24 u
24 u = 216
1 u = 216 ÷ 24 = 9
Number of kiwis and mangosteens sold
= 24 u + 216
= 24 x 9 + 216
= 216 + 216
= 432
Answer(s): 432