Caden had a total of 201 oranges and starfruits. He sold
34 of the starfruits and bought another 39 oranges. In the end, the number of oranges he had was
45 the number of starfruits. How many more starfruits than oranges did he have at first?
|
Oranges |
Starfruits |
Total |
Before
|
4 u - 39
|
4x5 = 20 u |
201 |
Change |
+ 39 |
- 3x5 = 15 u |
|
After |
|
1x5 = 5 u |
|
Comparing between oranges and starfruits |
4x1 = 4 u |
5x1 = 5 u |
|
The number of starfruits in the end is repeated. Make the number of starfruits in the end the same. LCM of 1 and 5 is 5.
Total number of oranges and starfruits at first
= 4 u - 39 + 20 u
= 24 u - 39
24 u - 39 = 201
24 u = 201 + 39
24 u = 240
1 u = 240 ÷ 24 = 10
Number of more starfruits than oranges at first
= 20 u - (4 u - 39)
= 20 u - 4 u + 39
= 16 u + 39
= 16 x 10 + 39
= 160 + 39
= 199
Answer(s): 199