At a supermarket, the ratio of mangosteens to pears was 9 : 10. After Cindy bought three-quarters of the pears, there was a total of 115 mangosteens and pears left at the supermarket. How many fruits were there at first?
| |
Mangosteens |
Pears |
Total |
Comparing mangosteens
and pears at first |
9x2 =
18 u |
10x2 =
20 u |
38 u |
Before |
|
4x5 =
20 u |
|
Change |
|
- 3x5 =
- 15 u |
|
After |
18 u |
1x5 =
5 u |
115 |
The number of pears at first is repeated. Make the number of pears at first the same. LCM of 10 and 4 is 20.
Total number of fruits left
= 18 u + 5 u
= 23 u
23 u = 115
1 u = 115 ÷ 23 = 5
Number of fruits at first
= 18 u + 20 u
= 38 u
= 38 x 5
= 190
Answer(s): 190
