At a market, the ratio of lemons to guavas was 2 : 9. After Opal bought four-fifths of the guavas, there was a total of 76 lemons and guavas left at the market. How many fruits were there at first?
| |
Lemons |
Guavas |
Total |
Comparing lemons
and guavas at first |
2x5 =
10 u |
9x5 =
45 u |
55 u |
Before |
|
5x9 =
45 u |
|
Change |
|
- 4x9 =
- 36 u |
|
After |
10 u |
1x9 =
9 u |
76 |
The number of guavas at first is repeated. Make the number of guavas at first the same. LCM of 9 and 5 is 45.
Total number of fruits left
= 10 u + 9 u
= 19 u
19 u = 76
1 u = 76 ÷ 19 = 4
Number of fruits at first
= 10 u + 45 u
= 55 u
= 55 x 4
= 220
Answer(s): 220
