A fruit stall had 3 times as many mangoes as pomegranates. After 10 pomegranates were sold, the number of mangoes became 9 times the number of the remaining pomegranates. How many pomegranates were there at the fruit stall at first?
| |
Mangoes |
Pomegranates |
| Before |
3x3 =
9 u |
1x3 =
3 u |
| Change |
|
- 10 |
| After |
9 u |
1 u |
The number of mangoes remains unchanged. Make the number of mangoes the same. LCM of 3 and 9 is 9.
Number of pomegranates in the end = 3 u - 10
3 u - 10 = 1 u
3 u - 1 u = 10
2 u = 10
1 u = 10 ÷ 2 = 5
Number of pomegranates at the fruit stall at first
= 3 u
= 3 x 5
= 15
Answer(s): 15
