Cody had guavas and mangosteens. The ratio of guavas to mangosteens was 3 : 2. After
12 of the guavas and 27 mangosteens were sold, there were 3 times as many guavas as mangosteens left. How many guavas and mangosteens were there at first?
| |
Guavas |
Mangosteens |
Comparing guavas
and mangosteens at first |
3x2 =
6 u |
2x2 =
4 u |
| Before |
2x3 =
6 u |
|
| Change |
- 1x3 =
- 3 u |
- 27 |
| After |
1x3 =
3 u |
|
Comparing guavas
and mangosteens in the end |
3 u |
1 u |
The number of guavas at first is repeated. Make the number of guavas at first the same. LCM of 3 and 2 is 6.
Number of mangosteens sold
= 4 u - 1 u
= 3 u
3 u = 27
1 u = 27 ÷ 3 = 9
Number of guavas and mangosteens at first
= 6 u + 4 u
= 10 u
= 10 x 9
= 90
Answer(s): 90
