Mark had a total of 309 oranges and starfruits. He sold
15 of the starfruits and bought another 36 oranges. In the end, the number of oranges he had was
23 the number of starfruits. How many more starfruits than oranges did he have at first?
|
Oranges |
Starfruits |
Total |
Before
|
8 u - 36
|
5x3 = 15 u |
309 |
Change |
+ 36 |
- 1x3 = 3 u |
|
After |
|
4x3 = 12 u |
|
Comparing between oranges and starfruits |
2x4 = 8 u |
3x4 = 12 u |
|
The number of starfruits in the end is repeated. Make the number of starfruits in the end the same. LCM of 4 and 3 is 12.
Total number of oranges and starfruits at first
= 8 u - 36 + 15 u
= 23 u - 36
23 u - 36 = 309
23 u = 309 + 36
23 u = 345
1 u = 345 ÷ 23 = 15
Number of more starfruits than oranges at first
= 15 u - (8 u - 36)
= 15 u - 8 u + 36
= 7 u + 36
= 7 x 15 + 36
= 105 + 36
= 141
Answer(s): 141