At a stall, the ratio of guavas to tomatoes was 4 : 9. After Vanessa bought two-fifths of the tomatoes, there was a total of 423 guavas and tomatoes left at the stall. How many fruits were there at first?
| |
Guavas |
Tomatoes |
Total |
Comparing guavas
and tomatoes at first |
4x5 =
20 u |
9x5 =
45 u |
65 u |
Before |
|
5x9 =
45 u |
|
Change |
|
- 2x9 =
- 18 u |
|
After |
20 u |
3x9 =
27 u |
423 |
The number of tomatoes at first is repeated. Make the number of tomatoes at first the same. LCM of 9 and 5 is 45.
Total number of fruits left
= 20 u + 27 u
= 47 u
47 u = 423
1 u = 423 ÷ 47 = 9
Number of fruits at first
= 20 u + 45 u
= 65 u
= 65 x 9
= 585
Answer(s): 585
