At a supermarket, the ratio of apples to plums was 9 : 10. After Risa bought two-fifths of the plums, there was a total of 30 apples and plums left at the supermarket. How many fruits were there at first?
|
Apples |
Plums |
Total |
Comparing apples and plums at first |
9x1 = 9 u |
10x1 = 10 u |
19 u |
Before |
|
5x2 = 10 u |
|
Change |
|
- 2x2 = - 4 u |
|
After |
9 u |
3x2 = 6 u |
30 |
The number of plums at first is repeated. Make the number of plums at first the same. LCM of 10 and 5 is 10.
Total number of fruits left
= 9 u + 6 u
= 15 u
15 u = 30
1 u = 30 ÷ 15 = 2
Number of fruits at first
= 9 u + 10 u
= 19 u
= 19 x 2
= 38
Answer(s): 38