At a market, the ratio of dragon fruits to limes was 2 : 9. After Sabrina bought two-thirds of the limes, there was a total of 20 dragon fruits and limes left at the market. How many fruits were there at first?
| |
Dragon Fruits |
Limes |
Total |
Comparing dragon fruits
and limes at first |
2x1 =
2 u |
9x1 =
9 u |
11 u |
Before |
|
3x3 =
9 u |
|
Change |
|
- 2x3 =
- 6 u |
|
After |
2 u |
1x3 =
3 u |
20 |
The number of limes at first is repeated. Make the number of limes at first the same. LCM of 9 and 3 is 9.
Total number of fruits left
= 2 u + 3 u
= 5 u
5 u = 20
1 u = 20 ÷ 5 = 4
Number of fruits at first
= 2 u + 9 u
= 11 u
= 11 x 4
= 44
Answer(s): 44
