Dylan had a total of 355 starfruits and pomegranates. He sold
34 of the pomegranates and bought another 13 starfruits. In the end, the number of starfruits he had was
35 the number of pomegranates. How many more pomegranates than starfruits did he have at first?
| |
Starfruits |
Pomegranates |
Total |
Before
|
3 u - 13
|
4x5 =
20 u |
355 |
Change |
+ 13 |
- 3x5 =
15 u |
|
| After |
|
1x5 =
5 u |
|
Comparing between
starfruits and pomegranates |
3x1 =
3 u |
5x1 =
5 u |
|
The number of pomegranates in the end is repeated. Make the number of pomegranates in the end the same. LCM of 1 and 5 is 5.
Total number of starfruits and pomegranates at first
= 3 u - 13 + 20 u
= 23 u - 13
23 u - 13 = 355
23 u = 355 + 13
23 u = 368
1 u = 368 ÷ 23 = 16
Number of more pomegranates than starfruits at first
= 20 u - (3 u - 13)
= 20 u - 3 u + 13
= 17 u + 13
= 17 x 16 + 13
= 272 + 13
= 285
Answer(s): 285
