At a mart, the ratio of dates to guavas was 3 : 11. After Usha bought two-thirds of the guavas, there was a total of 100 dates and guavas left at the mart. How many fruits were there at first?
| |
Dates |
Guavas |
Total |
Comparing dates
and guavas at first |
3x3 =
9 u |
11x3 =
33 u |
42 u |
Before |
|
3x11 =
33 u |
|
Change |
|
- 2x11 =
- 22 u |
|
After |
9 u |
1x11 =
11 u |
100 |
The number of guavas at first is repeated. Make the number of guavas at first the same. LCM of 11 and 3 is 33.
Total number of fruits left
= 9 u + 11 u
= 20 u
20 u = 100
1 u = 100 ÷ 20 = 5
Number of fruits at first
= 9 u + 33 u
= 42 u
= 42 x 5
= 210
Answer(s): 210
