Charlie had kiwis and mangosteens. The ratio of kiwis to mangosteens was 5 : 2. After
34 of the kiwis and 70 mangosteens were sold, there were 5 times as many kiwis as mangosteens left. How many kiwis and mangosteens were there at first?
|
Kiwis |
Mangosteens |
Comparing kiwis and mangosteens at first |
5x4 = 20 u |
2x4 = 8 u |
Before |
4x5 = 20 u |
|
Change |
- 3x5 = - 15 u |
- 70 |
After |
1x5 = 5 u |
|
Comparing kiwis and mangosteens in the end |
5 u |
1 u |
The number of kiwis at first is repeated. Make the number of kiwis at first the same. LCM of 5 and 4 is 20.
Number of mangosteens sold
= 8 u - 1 u
= 7 u
7 u = 70
1 u = 70 ÷ 7 = 10
Number of kiwis and mangosteens at first
= 20 u + 8 u
= 28 u
= 28 x 10
= 280
Answer(s): 280