Andy had pomegranates and mangosteens. The ratio of pomegranates to mangosteens was 3 : 2. After
14 of the pomegranates and 49 mangosteens were sold, there were 9 times as many pomegranates as mangosteens left. How many pomegranates and mangosteens were there at first?
| |
Pomegranates |
Mangosteens |
Comparing pomegranates
and mangosteens at first |
3x4 =
12 u |
2x4 =
8 u |
| Before |
4x3 =
12 u |
|
| Change |
- 1x3 =
- 3 u |
- 49 |
| After |
3x3 =
9 u |
|
Comparing pomegranates
and mangosteens in the end |
9 u |
1 u |
The number of pomegranates at first is repeated. Make the number of pomegranates at first the same. LCM of 3 and 4 is 12.
Number of mangosteens sold
= 8 u - 1 u
= 7 u
7 u = 49
1 u = 49 ÷ 7 = 7
Number of pomegranates and mangosteens at first
= 12 u + 8 u
= 20 u
= 20 x 7
= 140
Answer(s): 140
