At a shop, the ratio of lemons to apricots was 5 : 11. After Zara bought three-quarters of the apricots, there was a total of 310 lemons and apricots left at the shop. How many fruits were there at first?
|
Lemons |
Apricots |
Total |
Comparing lemons and apricots at first |
5x4 = 20 u |
11x4 = 44 u |
64 u |
Before |
|
4x11 = 44 u |
|
Change |
|
- 3x11 = - 33 u |
|
After |
20 u |
1x11 = 11 u |
310 |
The number of apricots at first is repeated. Make the number of apricots at first the same. LCM of 11 and 4 is 44.
Total number of fruits left
= 20 u + 11 u
= 31 u
31 u = 310
1 u = 310 ÷ 31 = 10
Number of fruits at first
= 20 u + 44 u
= 64 u
= 64 x 10
= 640
Answer(s): 640