Ken had a total of 387 apples and starfruits. He sold
25 of the starfruits and bought another 33 apples. In the end, the number of apples he had was
15 the number of starfruits. How many more starfruits than apples did he have at first?
| |
Apples |
Starfruits |
Total |
Before
|
3 u - 33
|
5x5 =
25 u |
387 |
Change |
+ 33 |
- 2x5 =
10 u |
|
| After |
|
3x5 =
15 u |
|
Comparing between
apples 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 apples and starfruits at first
= 3 u - 33 + 25 u
= 28 u - 33
28 u - 33 = 387
28 u = 387 + 33
28 u = 420
1 u = 420 ÷ 28 = 15
Number of more starfruits than apples at first
= 25 u - (3 u - 33)
= 25 u - 3 u + 33
= 22 u + 33
= 22 x 15 + 33
= 330 + 33
= 363
Answer(s): 363
