Simon had kiwis and mangosteens. The ratio of kiwis to mangosteens was 7 : 3. After
34 of the kiwis and 44 mangosteens were sold, there were 7 times as many kiwis as mangosteens left. How many kiwis and mangosteens were there at first?
|
Kiwis |
Mangosteens |
Comparing kiwis and mangosteens at first |
7x4 = 28 u |
3x4 = 12 u |
Before |
4x7 = 28 u |
|
Change |
- 3x7 = - 21 u |
- 44 |
After |
1x7 = 7 u |
|
Comparing kiwis and mangosteens in the end |
7 u |
1 u |
The number of kiwis at first is repeated. Make the number of kiwis at first the same. LCM of 7 and 4 is 28.
Number of mangosteens sold
= 12 u - 1 u
= 11 u
11 u = 44
1 u = 44 ÷ 11 = 4
Number of kiwis and mangosteens at first
= 28 u + 12 u
= 40 u
= 40 x 4
= 160
Answer(s): 160