Will had persimmons and mangosteens. The ratio of persimmons to mangosteens was 3 : 2. After
35 of the persimmons and 54 mangosteens were sold, there were 6 times as many persimmons as mangosteens left. How many persimmons and mangosteens were sold?
| |
Persimmons |
Mangosteens |
Comparing persimmons
and mangosteens at first |
3x5 =
15 u |
2x5 =
10 u |
| Before |
5x3 =
15 u |
|
| Change |
- 3x3 =
- 9 u |
- 54 |
| After |
2x3 =
6 u |
|
Comparing persimmons
and mangosteens in the end |
6 u |
1 u |
The number of persimmons at first is repeated. Make the number of persimmons at first the same. LCM of 3 and 5 is 15.
Number of mangosteens sold
= 10 u - 1 u
= 9 u
9 u = 54
1 u = 54 ÷ 9 = 6
Number of persimmons and mangosteens sold
= 9 u + 54
= 9 x 6 + 54
= 54 + 54
= 108
Answer(s): 108
