At a mart, the ratio of pomegranates to grapefruits was 5 : 9. After Raeann bought four-fifths of the grapefruits, there was a total of 340 pomegranates and grapefruits left at the mart. How many fruits were there at first?
| |
Pomegranates |
Grapefruits |
Total |
Comparing pomegranates
and grapefruits at first |
5x5 =
25 u |
9x5 =
45 u |
70 u |
Before |
|
5x9 =
45 u |
|
Change |
|
- 4x9 =
- 36 u |
|
After |
25 u |
1x9 =
9 u |
340 |
The number of grapefruits at first is repeated. Make the number of grapefruits at first the same. LCM of 9 and 5 is 45.
Total number of fruits left
= 25 u + 9 u
= 34 u
34 u = 340
1 u = 340 ÷ 34 = 10
Number of fruits at first
= 25 u + 45 u
= 70 u
= 70 x 10
= 700
Answer(s): 700
