At a mart, the ratio of apricots to mangosteens was 2 : 9. After Pamela bought four-fifths of the mangosteens, there was a total of 114 apricots and mangosteens left at the mart. How many fruits were there at first?
| |
Apricots |
Mangosteens |
Total |
Comparing apricots
and mangosteens at first |
2x5 =
10 u |
9x5 =
45 u |
55 u |
Before |
|
5x9 =
45 u |
|
Change |
|
- 4x9 =
- 36 u |
|
After |
10 u |
1x9 =
9 u |
114 |
The number of mangosteens at first is repeated. Make the number of mangosteens at first the same. LCM of 9 and 5 is 45.
Total number of fruits left
= 10 u + 9 u
= 19 u
19 u = 114
1 u = 114 ÷ 19 = 6
Number of fruits at first
= 10 u + 45 u
= 55 u
= 55 x 6
= 330
Answer(s): 330
