At a mart, the ratio of dates to pomegranates was 6 : 11. After Natalie bought four-fifths of the pomegranates, there was a total of 123 dates and pomegranates left at the mart. How many fruits were there at first?
| |
Dates |
Pomegranates |
Total |
Comparing dates
and pomegranates at first |
6x5 =
30 u |
11x5 =
55 u |
85 u |
Before |
|
5x11 =
55 u |
|
Change |
|
- 4x11 =
- 44 u |
|
After |
30 u |
1x11 =
11 u |
123 |
The number of pomegranates at first is repeated. Make the number of pomegranates at first the same. LCM of 11 and 5 is 55.
Total number of fruits left
= 30 u + 11 u
= 41 u
41 u = 123
1 u = 123 ÷ 41 = 3
Number of fruits at first
= 30 u + 55 u
= 85 u
= 85 x 3
= 255
Answer(s): 255
