At a market, the ratio of pomegranates to apricots was 3 : 11. After Lynn bought four-fifths of the apricots, there was a total of 78 pomegranates and apricots left at the market. How many fruits were there at first?
| |
Pomegranates |
Apricots |
Total |
Comparing pomegranates
and apricots at first |
3x5 =
15 u |
11x5 =
55 u |
70 u |
Before |
|
5x11 =
55 u |
|
Change |
|
- 4x11 =
- 44 u |
|
After |
15 u |
1x11 =
11 u |
78 |
The number of apricots at first is repeated. Make the number of apricots at first the same. LCM of 11 and 5 is 55.
Total number of fruits left
= 15 u + 11 u
= 26 u
26 u = 78
1 u = 78 ÷ 26 = 3
Number of fruits at first
= 15 u + 55 u
= 70 u
= 70 x 3
= 210
Answer(s): 210
