At a shop, the ratio of lemons to peaches was 2 : 9. After Cindy bought two-thirds of the peaches, there was a total of 10 lemons and peaches left at the shop. How many fruits were there at first?
| |
Lemons |
Peaches |
Total |
Comparing lemons
and peaches at first |
2x1 =
2 u |
9x1 =
9 u |
11 u |
Before |
|
3x3 =
9 u |
|
Change |
|
- 2x3 =
- 6 u |
|
After |
2 u |
1x3 =
3 u |
10 |
The number of peaches at first is repeated. Make the number of peaches at first the same. LCM of 9 and 3 is 9.
Total number of fruits left
= 2 u + 3 u
= 5 u
5 u = 10
1 u = 10 ÷ 5 = 2
Number of fruits at first
= 2 u + 9 u
= 11 u
= 11 x 2
= 22
Answer(s): 22
