Nick had a total of 244 oranges and starfruits. He sold
14 of the starfruits and bought another 9 oranges. In the end, the number of oranges he had was
15 the number of starfruits. How many more starfruits than oranges did he have at first?
| |
Oranges |
Starfruits |
Total |
Before
|
3 u - 9
|
4x5 =
20 u |
244 |
Change |
+ 9 |
- 1x5 =
5 u |
|
| After |
|
3x5 =
15 u |
|
Comparing between
oranges and starfruits |
1x3 =
3 u |
5x3 =
15 u |
|
The number of starfruits in the end is repeated. Make the number of starfruits in the end the same. LCM of 3 and 5 is 15.
Total number of oranges and starfruits at first
= 3 u - 9 + 20 u
= 23 u - 9
23 u - 9 = 244
23 u = 244 + 9
23 u = 253
1 u = 253 ÷ 23 = 11
Number of more starfruits than oranges at first
= 20 u - (3 u - 9)
= 20 u - 3 u + 9
= 17 u + 9
= 17 x 11 + 9
= 187 + 9
= 196
Answer(s): 196
