At a market, the ratio of pears to dragon fruits was 6 : 11. After Gabby bought three-quarters of the dragon fruits, there was a total of 280 pears and dragon fruits left at the market. How many fruits were there at first?
| |
Pears |
Dragon Fruits |
Total |
Comparing pears
and dragon fruits at first |
6x4 =
24 u |
11x4 =
44 u |
68 u |
Before |
|
4x11 =
44 u |
|
Change |
|
- 3x11 =
- 33 u |
|
After |
24 u |
1x11 =
11 u |
280 |
The number of dragon fruits at first is repeated. Make the number of dragon fruits at first the same. LCM of 11 and 4 is 44.
Total number of fruits left
= 24 u + 11 u
= 35 u
35 u = 280
1 u = 280 ÷ 35 = 8
Number of fruits at first
= 24 u + 44 u
= 68 u
= 68 x 8
= 544
Answer(s): 544
