At a market, the ratio of guavas to pears was 6 : 11. After Sabrina bought three-fifths of the pears, there was a total of 468 guavas and pears left at the market. How many fruits were there at first?
|
Guavas |
Pears |
Total |
Comparing guavas and pears at first |
6x5 = 30 u |
11x5 = 55 u |
85 u |
Before |
|
5x11 = 55 u |
|
Change |
|
- 3x11 = - 33 u |
|
After |
30 u |
2x11 = 22 u |
468 |
The number of pears at first is repeated. Make the number of pears at first the same. LCM of 11 and 5 is 55.
Total number of fruits left
= 30 u + 22 u
= 52 u
52 u = 468
1 u = 468 ÷ 52 = 9
Number of fruits at first
= 30 u + 55 u
= 85 u
= 85 x 9
= 765
Answer(s): 765