At a shop, the ratio of limes to oranges was 4 : 11. After Roshel bought four-fifths of the oranges, there was a total of 279 limes and oranges left at the shop. How many fruits were there at first?
| |
Limes |
Oranges |
Total |
Comparing limes
and oranges at first |
4x5 =
20 u |
11x5 =
55 u |
75 u |
Before |
|
5x11 =
55 u |
|
Change |
|
- 4x11 =
- 44 u |
|
After |
20 u |
1x11 =
11 u |
279 |
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
= 20 u + 11 u
= 31 u
31 u = 279
1 u = 279 ÷ 31 = 9
Number of fruits at first
= 20 u + 55 u
= 75 u
= 75 x 9
= 675
Answer(s): 675
