At a mart, the ratio of dragon fruits to apples was 3 : 11. After Victoria bought four-fifths of the apples, there was a total of 156 dragon fruits and apples left at the mart. How many fruits were there at first?
|
Dragon Fruits |
Apples |
Total |
Comparing dragon fruits and apples at first |
3x5 = 15 u |
11x5 = 55 u |
70 u |
Before |
|
5x11 = 55 u |
|
Change |
|
- 4x11 = - 44 u |
|
After |
15 u |
1x11 = 11 u |
156 |
The number of apples at first is repeated. Make the number of apples at first the same. LCM of 11 and 5 is 55.
Total number of fruits left
= 15 u + 11 u
= 26 u
26 u = 156
1 u = 156 ÷ 26 = 6
Number of fruits at first
= 15 u + 55 u
= 70 u
= 70 x 6
= 420
Answer(s): 420