Asher had a total of 306 oranges and kiwis. He sold
14 of the kiwis and bought another 17 oranges. In the end, the number of oranges he had was
14 the number of kiwis. How many more kiwis than oranges did he have at first?
| |
Oranges |
Kiwis |
Total |
Before
|
3 u - 17
|
4x4 =
16 u |
306 |
Change |
+ 17 |
- 1x4 =
4 u |
|
| After |
|
3x4 =
12 u |
|
Comparing between
oranges and kiwis |
1x3 =
3 u |
4x3 =
12 u |
|
The number of kiwis in the end is repeated. Make the number of kiwis in the end the same. LCM of 3 and 4 is 12.
Total number of oranges and kiwis at first
= 3 u - 17 + 16 u
= 19 u - 17
19 u - 17 = 306
19 u = 306 + 17
19 u = 323
1 u = 323 ÷ 19 = 17
Number of more kiwis than oranges at first
= 16 u - (3 u - 17)
= 16 u - 3 u + 17
= 13 u + 17
= 13 x 17 + 17
= 221 + 17
= 238
Answer(s): 238
