At a market, the ratio of dragon fruits to apples was 5 : 12. After Esther bought two-fifths of the apples, there was a total of 244 dragon fruits and apples left at the market. How many fruits were there at first?
|
Dragon Fruits |
Apples |
Total |
Comparing dragon fruits and apples at first |
5x5 = 25 u |
12x5 = 60 u |
85 u |
Before |
|
5x12 = 60 u |
|
Change |
|
- 2x12 = - 24 u |
|
After |
25 u |
3x12 = 36 u |
244 |
The number of apples at first is repeated. Make the number of apples at first the same. LCM of 12 and 5 is 60.
Total number of fruits left
= 25 u + 36 u
= 61 u
61 u = 244
1 u = 244 ÷ 61 = 4
Number of fruits at first
= 25 u + 60 u
= 85 u
= 85 x 4
= 340
Answer(s): 340