At a shop, the ratio of plums to dates was 3 : 11. After Anna bought four-fifths of the dates, there was a total of 182 plums and dates left at the shop. How many fruits were there at first?
| |
Plums |
Dates |
Total |
Comparing plums
and dates at first |
3x5 =
15 u |
11x5 =
55 u |
70 u |
Before |
|
5x11 =
55 u |
|
Change |
|
- 4x11 =
- 44 u |
|
After |
15 u |
1x11 =
11 u |
182 |
The number of dates at first is repeated. Make the number of dates at first the same. LCM of 11 and 5 is 55.
Total number of fruits left
= 15 u + 11 u
= 26 u
26 u = 182
1 u = 182 ÷ 26 = 7
Number of fruits at first
= 15 u + 55 u
= 70 u
= 70 x 7
= 490
Answer(s): 490
