At a stall, the ratio of apples to pomegranates was 5 : 11. After Diana bought three-fifths of the pomegranates, there was a total of 517 apples and pomegranates left at the stall. How many fruits were there at first?
| |
Apples |
Pomegranates |
Total |
Comparing apples
and pomegranates at first |
5x5 =
25 u |
11x5 =
55 u |
80 u |
Before |
|
5x11 =
55 u |
|
Change |
|
- 3x11 =
- 33 u |
|
After |
25 u |
2x11 =
22 u |
517 |
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
= 25 u + 22 u
= 47 u
47 u = 517
1 u = 517 ÷ 47 = 11
Number of fruits at first
= 25 u + 55 u
= 80 u
= 80 x 11
= 880
Answer(s): 880
