At a supermarket, the ratio of lemons to tomatoes was 7 : 10. After Xandra bought three-quarters of the tomatoes, there was a total of 133 lemons and tomatoes left at the supermarket. How many fruits were there at first?
|
Lemons |
Tomatoes |
Total |
Comparing lemons and tomatoes at first |
7x2 = 14 u |
10x2 = 20 u |
34 u |
Before |
|
4x5 = 20 u |
|
Change |
|
- 3x5 = - 15 u |
|
After |
14 u |
1x5 = 5 u |
133 |
The number of tomatoes at first is repeated. Make the number of tomatoes at first the same. LCM of 10 and 4 is 20.
Total number of fruits left
= 14 u + 5 u
= 19 u
19 u = 133
1 u = 133 ÷ 19 = 7
Number of fruits at first
= 14 u + 20 u
= 34 u
= 34 x 7
= 238
Answer(s): 238