At a mart, the ratio of avocados to guavas was 3 : 11. After Hilda bought three-quarters of the guavas, there was a total of 161 avocados and guavas left at the mart. How many fruits were there at first?
|
Avocados |
Guavas |
Total |
Comparing avocados and guavas at first |
3x4 = 12 u |
11x4 = 44 u |
56 u |
Before |
|
4x11 = 44 u |
|
Change |
|
- 3x11 = - 33 u |
|
After |
12 u |
1x11 = 11 u |
161 |
The number of guavas at first is repeated. Make the number of guavas at first the same. LCM of 11 and 4 is 44.
Total number of fruits left
= 12 u + 11 u
= 23 u
23 u = 161
1 u = 161 ÷ 23 = 7
Number of fruits at first
= 12 u + 44 u
= 56 u
= 56 x 7
= 392
Answer(s): 392