Dylan had pomegranates and apples. The ratio of pomegranates to apples was 8 : 3. After
12 of the pomegranates and 8 apples were sold, there were 4 times as many pomegranates as apples left. How many pomegranates and apples were there at first?
|
Pomegranates |
Apples |
Comparing pomegranates and apples at first |
8x1 = 8 u |
3x1 = 3 u |
Before |
2x4 = 8 u |
|
Change |
- 1x4 = - 4 u |
- 8 |
After |
1x4 = 4 u |
|
Comparing pomegranates and apples in the end |
4 u |
1 u |
The number of pomegranates at first is repeated. Make the number of pomegranates at first the same. LCM of 8 and 2 is 8.
Number of apples sold
= 3 u - 1 u
= 2 u
2 u = 8
1 u = 8 ÷ 2 = 4
Number of pomegranates and apples at first
= 8 u + 3 u
= 11 u
= 11 x 4
= 44
Answer(s): 44