At a mart, the ratio of mangosteens to apples was 9 : 10. After Hazel bought four-fifths of the apples, there was a total of 22 mangosteens and apples left at the mart. How many fruits were there at first?
|
Mangosteens |
Apples |
Total |
Comparing mangosteens and apples at first |
9x1 = 9 u |
10x1 = 10 u |
19 u |
Before |
|
5x2 = 10 u |
|
Change |
|
- 4x2 = - 8 u |
|
After |
9 u |
1x2 = 2 u |
22 |
The number of apples at first is repeated. Make the number of apples at first the same. LCM of 10 and 5 is 10.
Total number of fruits left
= 9 u + 2 u
= 11 u
11 u = 22
1 u = 22 ÷ 11 = 2
Number of fruits at first
= 9 u + 10 u
= 19 u
= 19 x 2
= 38
Answer(s): 38