At a market, the ratio of guavas to plums was 7 : 9. After Cathy bought two-fifths of the plums, there was a total of 310 guavas and plums left at the market. How many fruits were there at first?
| |
Guavas |
Plums |
Total |
Comparing guavas
and plums at first |
7x5 =
35 u |
9x5 =
45 u |
80 u |
Before |
|
5x9 =
45 u |
|
Change |
|
- 2x9 =
- 18 u |
|
After |
35 u |
3x9 =
27 u |
310 |
The number of plums at first is repeated. Make the number of plums at first the same. LCM of 9 and 5 is 45.
Total number of fruits left
= 35 u + 27 u
= 62 u
62 u = 310
1 u = 310 ÷ 62 = 5
Number of fruits at first
= 35 u + 45 u
= 80 u
= 80 x 5
= 400
Answer(s): 400
