At a market, the ratio of dragon fruits to oranges was 7 : 9. After Barbara bought two-fifths of the oranges, there was a total of 434 dragon fruits and oranges left at the market. How many fruits were there at first?
| |
Dragon Fruits |
Oranges |
Total |
Comparing dragon fruits
and oranges at first |
7x5 =
35 u |
9x5 =
45 u |
80 u |
Before |
|
5x9 =
45 u |
|
Change |
|
- 2x9 =
- 18 u |
|
After |
35 u |
3x9 =
27 u |
434 |
The number of oranges at first is repeated. Make the number of oranges at first the same. LCM of 9 and 5 is 45.
Total number of fruits left
= 35 u + 27 u
= 62 u
62 u = 434
1 u = 434 ÷ 62 = 7
Number of fruits at first
= 35 u + 45 u
= 80 u
= 80 x 7
= 560
Answer(s): 560
