At a stall, the ratio of tomatoes to peaches was 5 : 12. After Xandra bought three-quarters of the peaches, there was a total of 32 tomatoes and peaches left at the stall. How many fruits were there at first?
|
Tomatoes |
Peaches |
Total |
Comparing tomatoes and peaches at first |
5x1 = 5 u |
12x1 = 12 u |
17 u |
Before |
|
4x3 = 12 u |
|
Change |
|
- 3x3 = - 9 u |
|
After |
5 u |
1x3 = 3 u |
32 |
The number of peaches at first is repeated. Make the number of peaches at first the same. LCM of 12 and 4 is 12.
Total number of fruits left
= 5 u + 3 u
= 8 u
8 u = 32
1 u = 32 ÷ 8 = 4
Number of fruits at first
= 5 u + 12 u
= 17 u
= 17 x 4
= 68
Answer(s): 68