At a supermarket, the ratio of coconuts to pears was 3 : 11. After Pamela bought three-quarters of the pears, there was a total of 115 coconuts and pears left at the supermarket. How many fruits were there at first?
|
Coconuts |
Pears |
Total |
Comparing coconuts and pears at first |
3x4 = 12 u |
11x4 = 44 u |
56 u |
Before |
|
4x11 = 44 u |
|
Change |
|
- 3x11 = - 33 u |
|
After |
12 u |
1x11 = 11 u |
115 |
The number of pears at first is repeated. Make the number of pears at first the same. LCM of 11 and 4 is 44.
Total number of fruits left
= 12 u + 11 u
= 23 u
23 u = 115
1 u = 115 ÷ 23 = 5
Number of fruits at first
= 12 u + 44 u
= 56 u
= 56 x 5
= 280
Answer(s): 280