At a market, the ratio of dragon fruits to lemons was 9 : 10. After Barbara bought three-quarters of the lemons, there was a total of 276 dragon fruits and lemons left at the market. How many fruits were there at first?
|
Dragon Fruits |
Lemons |
Total |
Comparing dragon fruits and lemons at first |
9x2 = 18 u |
10x2 = 20 u |
38 u |
Before |
|
4x5 = 20 u |
|
Change |
|
- 3x5 = - 15 u |
|
After |
18 u |
1x5 = 5 u |
276 |
The number of lemons at first is repeated. Make the number of lemons at first the same. LCM of 10 and 4 is 20.
Total number of fruits left
= 18 u + 5 u
= 23 u
23 u = 276
1 u = 276 ÷ 23 = 12
Number of fruits at first
= 18 u + 20 u
= 38 u
= 38 x 12
= 456
Answer(s): 456