At a market, the ratio of guavas to limes was 4 : 11. After Victoria bought three-quarters of the limes, there was a total of 54 guavas and limes left at the market. How many fruits were there at first?
|
Guavas |
Limes |
Total |
Comparing guavas and limes at first |
4x4 = 16 u |
11x4 = 44 u |
60 u |
Before |
|
4x11 = 44 u |
|
Change |
|
- 3x11 = - 33 u |
|
After |
16 u |
1x11 = 11 u |
54 |
The number of limes at first is repeated. Make the number of limes at first the same. LCM of 11 and 4 is 44.
Total number of fruits left
= 16 u + 11 u
= 27 u
27 u = 54
1 u = 54 ÷ 27 = 2
Number of fruits at first
= 16 u + 44 u
= 60 u
= 60 x 2
= 120
Answer(s): 120