At a mart, the ratio of grapefruits to mandarin oranges was 5 : 11. After Jane bought three-fifths of the mandarin oranges, there was a total of 282 grapefruits and mandarin oranges left at the mart. How many fruits were there at first?
| |
Grapefruits |
Mandarin Oranges |
Total |
Comparing grapefruits
and mandarin oranges at first |
5x5 =
25 u |
11x5 =
55 u |
80 u |
Before |
|
5x11 =
55 u |
|
Change |
|
- 3x11 =
- 33 u |
|
After |
25 u |
2x11 =
22 u |
282 |
The number of mandarin oranges at first is repeated. Make the number of mandarin oranges at first the same. LCM of 11 and 5 is 55.
Total number of fruits left
= 25 u + 22 u
= 47 u
47 u = 282
1 u = 282 ÷ 47 = 6
Number of fruits at first
= 25 u + 55 u
= 80 u
= 80 x 6
= 480
Answer(s): 480
