At a mart, the ratio of peaches to dragon fruits was 3 : 11. After Mary bought two-fifths of the dragon fruits, there was a total of 192 peaches and dragon fruits left at the mart. How many fruits were there at first?
| |
Peaches |
Dragon Fruits |
Total |
Comparing peaches
and dragon fruits at first |
3x5 =
15 u |
11x5 =
55 u |
70 u |
Before |
|
5x11 =
55 u |
|
Change |
|
- 2x11 =
- 22 u |
|
After |
15 u |
3x11 =
33 u |
192 |
The number of dragon fruits at first is repeated. Make the number of dragon fruits at first the same. LCM of 11 and 5 is 55.
Total number of fruits left
= 15 u + 33 u
= 48 u
48 u = 192
1 u = 192 ÷ 48 = 4
Number of fruits at first
= 15 u + 55 u
= 70 u
= 70 x 4
= 280
Answer(s): 280
