At a shop, the ratio of pomegranates to limes was 2 : 9. After Barbara bought two-fifths of the limes, there was a total of 296 pomegranates and limes left at the shop. How many fruits were there at first?
| |
Pomegranates |
Limes |
Total |
Comparing pomegranates
and limes at first |
2x5 =
10 u |
9x5 =
45 u |
55 u |
Before |
|
5x9 =
45 u |
|
Change |
|
- 2x9 =
- 18 u |
|
After |
10 u |
3x9 =
27 u |
296 |
The number of limes at first is repeated. Make the number of limes at first the same. LCM of 9 and 5 is 45.
Total number of fruits left
= 10 u + 27 u
= 37 u
37 u = 296
1 u = 296 ÷ 37 = 8
Number of fruits at first
= 10 u + 45 u
= 55 u
= 55 x 8
= 440
Answer(s): 440
