At a stall, the ratio of peaches to pears was 9 : 10. After Dana bought four-fifths of the pears, there was a total of 22 peaches and pears left at the stall. How many fruits were there at first?
| |
Peaches |
Pears |
Total |
Comparing peaches
and pears at first |
9x1 =
9 u |
10x1 =
10 u |
19 u |
Before |
|
5x2 =
10 u |
|
Change |
|
- 4x2 =
- 8 u |
|
After |
9 u |
1x2 =
2 u |
22 |
The number of pears at first is repeated. Make the number of pears at first the same. LCM of 10 and 5 is 10.
Total number of fruits left
= 9 u + 2 u
= 11 u
11 u = 22
1 u = 22 ÷ 11 = 2
Number of fruits at first
= 9 u + 10 u
= 19 u
= 19 x 2
= 38
Answer(s): 38
