At a shop, the ratio of dates to mangosteens was 3 : 10. After Emily bought three-quarters of the mangosteens, there was a total of 33 dates and mangosteens left at the shop. How many fruits were there at first?
| |
Dates |
Mangosteens |
Total |
Comparing dates
and mangosteens at first |
3x2 =
6 u |
10x2 =
20 u |
26 u |
Before |
|
4x5 =
20 u |
|
Change |
|
- 3x5 =
- 15 u |
|
After |
6 u |
1x5 =
5 u |
33 |
The number of mangosteens at first is repeated. Make the number of mangosteens at first the same. LCM of 10 and 4 is 20.
Total number of fruits left
= 6 u + 5 u
= 11 u
11 u = 33
1 u = 33 ÷ 11 = 3
Number of fruits at first
= 6 u + 20 u
= 26 u
= 26 x 3
= 78
Answer(s): 78
