At a market, the ratio of plums to oranges was 6 : 11. After Zara bought three-quarters of the oranges, there was a total of 420 plums and oranges left at the market. How many fruits were there at first?
|
Plums |
Oranges |
Total |
Comparing plums and oranges at first |
6x4 = 24 u |
11x4 = 44 u |
68 u |
Before |
|
4x11 = 44 u |
|
Change |
|
- 3x11 = - 33 u |
|
After |
24 u |
1x11 = 11 u |
420 |
The number of oranges at first is repeated. Make the number of oranges at first the same. LCM of 11 and 4 is 44.
Total number of fruits left
= 24 u + 11 u
= 35 u
35 u = 420
1 u = 420 ÷ 35 = 12
Number of fruits at first
= 24 u + 44 u
= 68 u
= 68 x 12
= 816
Answer(s): 816