At a stall, the ratio of guavas to plums was 7 : 10. After Emily bought two-thirds of the plums, there was a total of 155 guavas and plums left at the stall. How many fruits were there at first?
|
Guavas |
Plums |
Total |
Comparing guavas and plums at first |
7x3 = 21 u |
10x3 = 30 u |
51 u |
Before |
|
3x10 = 30 u |
|
Change |
|
- 2x10 = - 20 u |
|
After |
21 u |
1x10 = 10 u |
155 |
The number of plums at first is repeated. Make the number of plums at first the same. LCM of 10 and 3 is 30.
Total number of fruits left
= 21 u + 10 u
= 31 u
31 u = 155
1 u = 155 ÷ 31 = 5
Number of fruits at first
= 21 u + 30 u
= 51 u
= 51 x 5
= 255
Answer(s): 255