At a stall, the ratio of mangosteens to guavas was 2 : 9. After Jade bought two-fifths of the guavas, there was a total of 370 mangosteens and guavas left at the stall. How many fruits were there at first?
| |
Mangosteens |
Guavas |
Total |
Comparing mangosteens
and guavas at first |
2x5 =
10 u |
9x5 =
45 u |
55 u |
Before |
|
5x9 =
45 u |
|
Change |
|
- 2x9 =
- 18 u |
|
After |
10 u |
3x9 =
27 u |
370 |
The number of guavas at first is repeated. Make the number of guavas at first the same. LCM of 9 and 5 is 45.
Total number of fruits left
= 10 u + 27 u
= 37 u
37 u = 370
1 u = 370 ÷ 37 = 10
Number of fruits at first
= 10 u + 45 u
= 55 u
= 55 x 10
= 550
Answer(s): 550
