Archie had a total of 231 chikoos and starfruits. He sold
25 of the starfruits and bought another 22 chikoos. In the end, the number of chikoos he had was
14 the number of starfruits. How many more starfruits than chikoos did he have at first?
| |
Chikoos |
Starfruits |
Total |
Before
|
3 u - 22
|
5x4 =
20 u |
231 |
Change |
+ 22 |
- 2x4 =
8 u |
|
| After |
|
3x4 =
12 u |
|
Comparing between
chikoos and starfruits |
1x3 =
3 u |
4x3 =
12 u |
|
The number of starfruits in the end is repeated. Make the number of starfruits in the end the same. LCM of 3 and 4 is 12.
Total number of chikoos and starfruits at first
= 3 u - 22 + 20 u
= 23 u - 22
23 u - 22 = 231
23 u = 231 + 22
23 u = 253
1 u = 253 ÷ 23 = 11
Number of more starfruits than chikoos at first
= 20 u - (3 u - 22)
= 20 u - 3 u + 22
= 17 u + 22
= 17 x 11 + 22
= 187 + 22
= 209
Answer(s): 209
