George had peaches and mangosteens. The ratio of peaches to mangosteens was 7 : 4. After
45 of the peaches and 57 mangosteens were sold, there were 7 times as many peaches as mangosteens left. How many peaches and mangosteens were sold?
| |
Peaches |
Mangosteens |
Comparing peaches
and mangosteens at first |
7x5 =
35 u |
4x5 =
20 u |
| Before |
5x7 =
35 u |
|
| Change |
- 4x7 =
- 28 u |
- 57 |
| After |
1x7 =
7 u |
|
Comparing peaches
and mangosteens in the end |
7 u |
1 u |
The number of peaches at first is repeated. Make the number of peaches at first the same. LCM of 7 and 5 is 35.
Number of mangosteens sold
= 20 u - 1 u
= 19 u
19 u = 57
1 u = 57 ÷ 19 = 3
Number of peaches and mangosteens sold
= 28 u + 57
= 28 x 3 + 57
= 84 + 57
= 141
Answer(s): 141
