Seth had persimmons and mangoes. The ratio of persimmons to mangoes was 3 : 2. After
34 of the persimmons and 35 mangoes were sold, there were 3 times as many persimmons as mangoes left. How many persimmons and mangoes were there at first?
| |
Persimmons |
Mangoes |
Comparing persimmons
and mangoes at first |
3x4 =
12 u |
2x4 =
8 u |
| Before |
4x3 =
12 u |
|
| Change |
- 3x3 =
- 9 u |
- 35 |
| After |
1x3 =
3 u |
|
Comparing persimmons
and mangoes in the end |
3 u |
1 u |
The number of persimmons at first is repeated. Make the number of persimmons at first the same. LCM of 3 and 4 is 12.
Number of mangoes sold
= 8 u - 1 u
= 7 u
7 u = 35
1 u = 35 ÷ 7 = 5
Number of persimmons and mangoes at first
= 12 u + 8 u
= 20 u
= 20 x 5
= 100
Answer(s): 100
