At a mart, the ratio of pears to dragon fruits was 3 : 11. After Nicole bought four-fifths of the dragon fruits, there was a total of 52 pears and dragon fruits left at the mart. How many fruits were there at first?
| |
Pears |
Dragon Fruits |
Total |
Comparing pears
and dragon fruits at first |
3x5 =
15 u |
11x5 =
55 u |
70 u |
Before |
|
5x11 =
55 u |
|
Change |
|
- 4x11 =
- 44 u |
|
After |
15 u |
1x11 =
11 u |
52 |
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 + 11 u
= 26 u
26 u = 52
1 u = 52 ÷ 26 = 2
Number of fruits at first
= 15 u + 55 u
= 70 u
= 70 x 2
= 140
Answer(s): 140
