At a shop, the ratio of dates to grapefruits was 5 : 11. After Nora bought two-fifths of the grapefruits, there was a total of 464 dates and grapefruits left at the shop. How many fruits were there at first?
| |
Dates |
Grapefruits |
Total |
Comparing dates
and grapefruits at first |
5x5 =
25 u |
11x5 =
55 u |
80 u |
Before |
|
5x11 =
55 u |
|
Change |
|
- 2x11 =
- 22 u |
|
After |
25 u |
3x11 =
33 u |
464 |
The number of grapefruits at first is repeated. Make the number of grapefruits at first the same. LCM of 11 and 5 is 55.
Total number of fruits left
= 25 u + 33 u
= 58 u
58 u = 464
1 u = 464 ÷ 58 = 8
Number of fruits at first
= 25 u + 55 u
= 80 u
= 80 x 8
= 640
Answer(s): 640
