At a shop, the ratio of dates to oranges was 5 : 11. After Jane bought four-fifths of the oranges, there was a total of 72 dates and oranges left at the shop. How many fruits were there at first?
| |
Dates |
Oranges |
Total |
Comparing dates
and oranges at first |
5x5 =
25 u |
11x5 =
55 u |
80 u |
Before |
|
5x11 =
55 u |
|
Change |
|
- 4x11 =
- 44 u |
|
After |
25 u |
1x11 =
11 u |
72 |
The number of oranges at first is repeated. Make the number of oranges at first the same. LCM of 11 and 5 is 55.
Total number of fruits left
= 25 u + 11 u
= 36 u
36 u = 72
1 u = 72 ÷ 36 = 2
Number of fruits at first
= 25 u + 55 u
= 80 u
= 80 x 2
= 160
Answer(s): 160
