Ken had kiwis and mangosteens. The ratio of kiwis to mangosteens was 9 : 8. After
34 of the kiwis and 155 mangosteens were sold, there were 9 times as many kiwis as mangosteens left. How many kiwis and mangosteens were there at first?
| |
Kiwis |
Mangosteens |
Comparing kiwis
and mangosteens at first |
9x4 =
36 u |
8x4 =
32 u |
| Before |
4x9 =
36 u |
|
| Change |
- 3x9 =
- 27 u |
- 155 |
| After |
1x9 =
9 u |
|
Comparing kiwis
and mangosteens in the end |
9 u |
1 u |
The number of kiwis at first is repeated. Make the number of kiwis at first the same. LCM of 9 and 4 is 36.
Number of mangosteens sold
= 32 u - 1 u
= 31 u
31 u = 155
1 u = 155 ÷ 31 = 5
Number of kiwis and mangosteens at first
= 36 u + 32 u
= 68 u
= 68 x 5
= 340
Answer(s): 340
