At a supermarket, the ratio of mandarin oranges to guavas was 6 : 11. After Dana bought two-thirds of the guavas, there was a total of 203 mandarin oranges and guavas left at the supermarket. How many fruits were there at first?
|
Mandarin Oranges |
Guavas |
Total |
Comparing mandarin oranges and guavas at first |
6x3 = 18 u |
11x3 = 33 u |
51 u |
Before |
|
3x11 = 33 u |
|
Change |
|
- 2x11 = - 22 u |
|
After |
18 u |
1x11 = 11 u |
203 |
The number of guavas at first is repeated. Make the number of guavas at first the same. LCM of 11 and 3 is 33.
Total number of fruits left
= 18 u + 11 u
= 29 u
29 u = 203
1 u = 203 ÷ 29 = 7
Number of fruits at first
= 18 u + 33 u
= 51 u
= 51 x 7
= 357
Answer(s): 357