At a market, the ratio of pears to tomatoes was 5 : 11. After Mary bought three-quarters of the tomatoes, there was a total of 124 pears and tomatoes left at the market. How many fruits were there at first?
|
Pears |
Tomatoes |
Total |
Comparing pears and tomatoes at first |
5x4 = 20 u |
11x4 = 44 u |
64 u |
Before |
|
4x11 = 44 u |
|
Change |
|
- 3x11 = - 33 u |
|
After |
20 u |
1x11 = 11 u |
124 |
The number of tomatoes at first is repeated. Make the number of tomatoes at first the same. LCM of 11 and 4 is 44.
Total number of fruits left
= 20 u + 11 u
= 31 u
31 u = 124
1 u = 124 ÷ 31 = 4
Number of fruits at first
= 20 u + 44 u
= 64 u
= 64 x 4
= 256
Answer(s): 256