At a market, the ratio of oranges to plums was 4 : 9. After Linda bought three-quarters of the plums, there was a total of 75 oranges and plums left at the market. How many fruits were there at first?
| |
Oranges |
Plums |
Total |
Comparing oranges
and plums at first |
4x4 =
16 u |
9x4 =
36 u |
52 u |
Before |
|
4x9 =
36 u |
|
Change |
|
- 3x9 =
- 27 u |
|
After |
16 u |
1x9 =
9 u |
75 |
The number of plums at first is repeated. Make the number of plums at first the same. LCM of 9 and 4 is 36.
Total number of fruits left
= 16 u + 9 u
= 25 u
25 u = 75
1 u = 75 ÷ 25 = 3
Number of fruits at first
= 16 u + 36 u
= 52 u
= 52 x 3
= 156
Answer(s): 156
