Dylan had peaches and pomegranates. The ratio of peaches to pomegranates was 4 : 3. After
35 of the peaches and 126 pomegranates were sold, there were 8 times as many peaches as pomegranates left. How many peaches and pomegranates were sold?
|
Peaches |
Pomegranates |
Comparing peaches and pomegranates at first |
4x5 = 20 u |
3x5 = 15 u |
Before |
5x4 = 20 u |
|
Change |
- 3x4 = - 12 u |
- 126 |
After |
2x4 = 8 u |
|
Comparing peaches and pomegranates in the end |
8 u |
1 u |
The number of peaches at first is repeated. Make the number of peaches at first the same. LCM of 4 and 5 is 20.
Number of pomegranates sold
= 15 u - 1 u
= 14 u
14 u = 126
1 u = 126 ÷ 14 = 9
Number of peaches and pomegranates sold
= 12 u + 126
= 12 x 9 + 126
= 108 + 126
= 234
Answer(s): 234