At a market, the ratio of oranges to avocados was 7 : 12. After Olivia bought two-fifths of the avocados, there was a total of 142 oranges and avocados left at the market. How many fruits were there at first?
| |
Oranges |
Avocados |
Total |
Comparing oranges
and avocados at first |
7x5 =
35 u |
12x5 =
60 u |
95 u |
Before |
|
5x12 =
60 u |
|
Change |
|
- 2x12 =
- 24 u |
|
After |
35 u |
3x12 =
36 u |
142 |
The number of avocados at first is repeated. Make the number of avocados at first the same. LCM of 12 and 5 is 60.
Total number of fruits left
= 35 u + 36 u
= 71 u
71 u = 142
1 u = 142 ÷ 71 = 2
Number of fruits at first
= 35 u + 60 u
= 95 u
= 95 x 2
= 190
Answer(s): 190
