Simon had pomegranates and mangosteens. The ratio of pomegranates to mangosteens was 9 : 7. After
45 of the pomegranates and 238 mangosteens were sold, there were 9 times as many pomegranates as mangosteens left. How many pomegranates and mangosteens were sold?
| |
Pomegranates |
Mangosteens |
Comparing pomegranates
and mangosteens at first |
9x5 =
45 u |
7x5 =
35 u |
| Before |
5x9 =
45 u |
|
| Change |
- 4x9 =
- 36 u |
- 238 |
| After |
1x9 =
9 u |
|
Comparing pomegranates
and mangosteens in the end |
9 u |
1 u |
The number of pomegranates at first is repeated. Make the number of pomegranates at first the same. LCM of 9 and 5 is 45.
Number of mangosteens sold
= 35 u - 1 u
= 34 u
34 u = 238
1 u = 238 ÷ 34 = 7
Number of pomegranates and mangosteens sold
= 36 u + 238
= 36 x 7 + 238
= 252 + 238
= 490
Answer(s): 490
