Wesley had a total of 269 pomegranates and oranges. He sold
12 of the oranges and bought another 39 pomegranates. In the end, the number of pomegranates he had was
15 the number of oranges. How many more oranges than pomegranates did he have at first?
| |
Pomegranates |
Oranges |
Total |
Before
|
1 u - 39
|
2x5 =
10 u |
269 |
Change |
+ 39 |
- 1x5 =
5 u |
|
| After |
|
1x5 =
5 u |
|
Comparing between
pomegranates and oranges |
1x1 =
1 u |
5x1 =
5 u |
|
The number of oranges in the end is repeated. Make the number of oranges in the end the same. LCM of 1 and 5 is 5.
Total number of pomegranates and oranges at first
= 1 u - 39 + 10 u
= 11 u - 39
11 u - 39 = 269
11 u = 269 + 39
11 u = 308
1 u = 308 ÷ 11 = 28
Number of more oranges than pomegranates at first
= 10 u - (1 u - 39)
= 10 u - 1 u + 39
= 9 u + 39
= 9 x 28 + 39
= 252 + 39
= 291
Answer(s): 291
