Dylan had a total of 290 passion fruits and oranges. He sold
13 of the oranges and bought another 9 passion fruits. In the end, the number of passion fruits he had was
45 the number of oranges. How many more oranges than passion fruits did he have at first?
| |
Passion Fruits |
Oranges |
Total |
Before
|
8 u - 9
|
3x5 =
15 u |
290 |
Change |
+ 9 |
- 1x5 =
5 u |
|
| After |
|
2x5 =
10 u |
|
Comparing between
passion fruits and oranges |
4x2 =
8 u |
5x2 =
10 u |
|
The number of oranges in the end is repeated. Make the number of oranges in the end the same. LCM of 2 and 5 is 10.
Total number of passion fruits and oranges at first
= 8 u - 9 + 15 u
= 23 u - 9
23 u - 9 = 290
23 u = 290 + 9
23 u = 299
1 u = 299 ÷ 23 = 13
Number of more oranges than passion fruits at first
= 15 u - (8 u - 9)
= 15 u - 8 u + 9
= 7 u + 9
= 7 x 13 + 9
= 91 + 9
= 100
Answer(s): 100
