Liam had a total of 220 mangosteens and kiwis. He sold
34 of the kiwis and bought another 33 mangosteens. In the end, the number of mangosteens he had was
35 the number of kiwis. How many more kiwis than mangosteens did he have at first?
| |
Mangosteens |
Kiwis |
Total |
Before
|
3 u - 33
|
4x5 =
20 u |
220 |
Change |
+ 33 |
- 3x5 =
15 u |
|
| After |
|
1x5 =
5 u |
|
Comparing between
mangosteens and kiwis |
3x1 =
3 u |
5x1 =
5 u |
|
The number of kiwis in the end is repeated. Make the number of kiwis in the end the same. LCM of 1 and 5 is 5.
Total number of mangosteens and kiwis at first
= 3 u - 33 + 20 u
= 23 u - 33
23 u - 33 = 220
23 u = 220 + 33
23 u = 253
1 u = 253 ÷ 23 = 11
Number of more kiwis than mangosteens at first
= 20 u - (3 u - 33)
= 20 u - 3 u + 33
= 17 u + 33
= 17 x 11 + 33
= 187 + 33
= 220
Answer(s): 220
