At a market, the ratio of tomatoes to plums was 4 : 11. After Irene bought four-fifths of the plums, there was a total of 372 tomatoes and plums left at the market. How many fruits were there at first?
| |
Tomatoes |
Plums |
Total |
Comparing tomatoes
and plums at first |
4x5 =
20 u |
11x5 =
55 u |
75 u |
Before |
|
5x11 =
55 u |
|
Change |
|
- 4x11 =
- 44 u |
|
After |
20 u |
1x11 =
11 u |
372 |
The number of plums at first is repeated. Make the number of plums at first the same. LCM of 11 and 5 is 55.
Total number of fruits left
= 20 u + 11 u
= 31 u
31 u = 372
1 u = 372 ÷ 31 = 12
Number of fruits at first
= 20 u + 55 u
= 75 u
= 75 x 12
= 900
Answer(s): 900
