Oliver had mangoes and pomegranates. The ratio of mangoes to pomegranates was 4 : 3. After
35 of the mangoes and 84 pomegranates were sold, there were 8 times as many mangoes as pomegranates left. How many mangoes and pomegranates were there at first?
|
Mangoes |
Pomegranates |
Comparing mangoes and pomegranates at first |
4x5 = 20 u |
3x5 = 15 u |
Before |
5x4 = 20 u |
|
Change |
- 3x4 = - 12 u |
- 84 |
After |
2x4 = 8 u |
|
Comparing mangoes and pomegranates in the end |
8 u |
1 u |
The number of mangoes at first is repeated. Make the number of mangoes at first the same. LCM of 4 and 5 is 20.
Number of pomegranates sold
= 15 u - 1 u
= 14 u
14 u = 84
1 u = 84 ÷ 14 = 6
Number of mangoes and pomegranates at first
= 20 u + 15 u
= 35 u
= 35 x 6
= 210
Answer(s): 210