A fruit stall had 3 times as many mangosteens as pears. After 15 pears were sold, the number of mangosteens became 12 times the number of the remaining pears. How many pears were there at the fruit stall at first?
| |
Mangosteens |
Pears |
| Before |
3x4 =
12 u |
1x4 =
4 u |
| Change |
|
- 15 |
| After |
12 u |
1 u |
The number of mangosteens remains unchanged. Make the number of mangosteens the same. LCM of 3 and 12 is 12.
Number of pears in the end = 4 u - 15
4 u - 15 = 1 u
4 u - 1 u = 15
3 u = 15
1 u = 15 ÷ 3 = 5
Number of pears at the fruit stall at first
= 4 u
= 4 x 5
= 20
Answer(s): 20
