At a market, the ratio of dates to guavas was 6 : 11. After Gwen bought three-fifths of the guavas, there was a total of 624 dates and guavas left at the market. How many fruits were there at first?
|
Dates |
Guavas |
Total |
Comparing dates and guavas at first |
6x5 = 30 u |
11x5 = 55 u |
85 u |
Before |
|
5x11 = 55 u |
|
Change |
|
- 3x11 = - 33 u |
|
After |
30 u |
2x11 = 22 u |
624 |
The number of guavas at first is repeated. Make the number of guavas at first the same. LCM of 11 and 5 is 55.
Total number of fruits left
= 30 u + 22 u
= 52 u
52 u = 624
1 u = 624 ÷ 52 = 12
Number of fruits at first
= 30 u + 55 u
= 85 u
= 85 x 12
= 1020
Answer(s): 1020