At a market, the ratio of apples to pomegranates was 9 : 10. After Shannon bought two-thirds of the pomegranates, there was a total of 296 apples and pomegranates left at the market. How many fruits were there at first?
| |
Apples |
Pomegranates |
Total |
Comparing apples
and pomegranates at first |
9x3 =
27 u |
10x3 =
30 u |
57 u |
Before |
|
3x10 =
30 u |
|
Change |
|
- 2x10 =
- 20 u |
|
After |
27 u |
1x10 =
10 u |
296 |
The number of pomegranates at first is repeated. Make the number of pomegranates at first the same. LCM of 10 and 3 is 30.
Total number of fruits left
= 27 u + 10 u
= 37 u
37 u = 296
1 u = 296 ÷ 37 = 8
Number of fruits at first
= 27 u + 30 u
= 57 u
= 57 x 8
= 456
Answer(s): 456
