Fred had peaches and mangosteens. The ratio of peaches to mangosteens was 8 : 3. After
34 of the peaches and 12 mangosteens were sold, there were 2 times as many peaches as mangosteens left. How many peaches and mangosteens were sold?
| |
Peaches |
Mangosteens |
Comparing peaches
and mangosteens at first |
8x1 =
8 u |
3x1 =
3 u |
| Before |
4x2 =
8 u |
|
| Change |
- 3x2 =
- 6 u |
- 12 |
| After |
1x2 =
2 u |
|
Comparing peaches
and mangosteens in the end |
2 u |
1 u |
The number of peaches at first is repeated. Make the number of peaches at first the same. LCM of 8 and 4 is 8.
Number of mangosteens sold
= 3 u - 1 u
= 2 u
2 u = 12
1 u = 12 ÷ 2 = 6
Number of peaches and mangosteens sold
= 6 u + 12
= 6 x 6 + 12
= 36 + 12
= 48
Answer(s): 48
