At a market, the ratio of dates to tomatoes was 3 : 11. After Sabrina bought three-quarters of the tomatoes, there was a total of 138 dates and tomatoes left at the market. How many fruits were there at first?
| |
Dates |
Tomatoes |
Total |
Comparing dates
and tomatoes at first |
3x4 =
12 u |
11x4 =
44 u |
56 u |
Before |
|
4x11 =
44 u |
|
Change |
|
- 3x11 =
- 33 u |
|
After |
12 u |
1x11 =
11 u |
138 |
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
= 12 u + 11 u
= 23 u
23 u = 138
1 u = 138 ÷ 23 = 6
Number of fruits at first
= 12 u + 44 u
= 56 u
= 56 x 6
= 336
Answer(s): 336
