At a mart, the ratio of pears to mangosteens was 5 : 9. After Jade bought three-fifths of the mangosteens, there was a total of 258 pears and mangosteens left at the mart. How many fruits were there at first?
| |
Pears |
Mangosteens |
Total |
Comparing pears
and mangosteens at first |
5x5 =
25 u |
9x5 =
45 u |
70 u |
Before |
|
5x9 =
45 u |
|
Change |
|
- 3x9 =
- 27 u |
|
After |
25 u |
2x9 =
18 u |
258 |
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
= 25 u + 18 u
= 43 u
43 u = 258
1 u = 258 ÷ 43 = 6
Number of fruits at first
= 25 u + 45 u
= 70 u
= 70 x 6
= 420
Answer(s): 420
