At a shop, the ratio of tomatoes to peaches was 5 : 11. After Zoe bought three-quarters of the peaches, there was a total of 62 tomatoes and peaches left at the shop. How many fruits were there at first?
| |
Tomatoes |
Peaches |
Total |
Comparing tomatoes
and peaches at first |
5x4 =
20 u |
11x4 =
44 u |
64 u |
Before |
|
4x11 =
44 u |
|
Change |
|
- 3x11 =
- 33 u |
|
After |
20 u |
1x11 =
11 u |
62 |
The number of peaches at first is repeated. Make the number of peaches at first the same. LCM of 11 and 4 is 44.
Total number of fruits left
= 20 u + 11 u
= 31 u
31 u = 62
1 u = 62 ÷ 31 = 2
Number of fruits at first
= 20 u + 44 u
= 64 u
= 64 x 2
= 128
Answer(s): 128
