At a market, the ratio of limes to dates was 4 : 11. After Risa bought three-fifths of the dates, there was a total of 252 limes and dates left at the market. How many fruits were there at first?
|
Limes |
Dates |
Total |
Comparing limes and dates at first |
4x5 = 20 u |
11x5 = 55 u |
75 u |
Before |
|
5x11 = 55 u |
|
Change |
|
- 3x11 = - 33 u |
|
After |
20 u |
2x11 = 22 u |
252 |
The number of dates at first is repeated. Make the number of dates at first the same. LCM of 11 and 5 is 55.
Total number of fruits left
= 20 u + 22 u
= 42 u
42 u = 252
1 u = 252 ÷ 42 = 6
Number of fruits at first
= 20 u + 55 u
= 75 u
= 75 x 6
= 450
Answer(s): 450