At a shop, the ratio of oranges to pomegranates was 5 : 11. After Betty bought two-fifths of the pomegranates, there was a total of 696 oranges and pomegranates left at the shop. How many fruits were there at first?
| |
Oranges |
Pomegranates |
Total |
Comparing oranges
and pomegranates at first |
5x5 =
25 u |
11x5 =
55 u |
80 u |
Before |
|
5x11 =
55 u |
|
Change |
|
- 2x11 =
- 22 u |
|
After |
25 u |
3x11 =
33 u |
696 |
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 + 33 u
= 58 u
58 u = 696
1 u = 696 ÷ 58 = 12
Number of fruits at first
= 25 u + 55 u
= 80 u
= 80 x 12
= 960
Answer(s): 960
