John had mangoes and lemons. The ratio of mangoes to lemons was 3 : 2. After
14 of the mangoes and 63 lemons were sold, there were 9 times as many mangoes as lemons left. How many mangoes and lemons were there at first?
|
Mangoes |
Lemons |
Comparing mangoes and lemons at first |
3x4 = 12 u |
2x4 = 8 u |
Before |
4x3 = 12 u |
|
Change |
- 1x3 = - 3 u |
- 63 |
After |
3x3 = 9 u |
|
Comparing mangoes and lemons in the end |
9 u |
1 u |
The number of mangoes at first is repeated. Make the number of mangoes at first the same. LCM of 3 and 4 is 12.
Number of lemons sold
= 8 u - 1 u
= 7 u
7 u = 63
1 u = 63 ÷ 7 = 9
Number of mangoes and lemons at first
= 12 u + 8 u
= 20 u
= 20 x 9
= 180
Answer(s): 180