A fruit stall had 4 times as many peaches as guavas. After 12 guavas were sold, the number of peaches became 12 times the number of the remaining guavas. How many guavas were there at the fruit stall at first?
|
Peaches |
Guavas |
Before |
4x3 = 12 u |
1x3 = 3 u |
Change |
|
- 12 |
After |
12 u |
1 u |
The number of peaches remains unchanged. Make the number of peaches the same. LCM of 4 and 12 is 12.
Number of guavas in the end = 3 u - 12
3 u - 12 = 1 u
3 u - 1 u = 12
2 u = 12
1 u = 12 ÷ 2 = 6
Number of guavas at the fruit stall at first
= 3 u
= 3 x 6
= 18
Answer(s): 18