At a supermarket, the ratio of mangosteens to oranges was 4 : 11. After Barbara bought two-thirds of the oranges, there was a total of 138 mangosteens and oranges left at the supermarket. How many fruits were there at first?
| |
Mangosteens |
Oranges |
Total |
Comparing mangosteens
and oranges at first |
4x3 =
12 u |
11x3 =
33 u |
45 u |
Before |
|
3x11 =
33 u |
|
Change |
|
- 2x11 =
- 22 u |
|
After |
12 u |
1x11 =
11 u |
138 |
The number of oranges at first is repeated. Make the number of oranges at first the same. LCM of 11 and 3 is 33.
Total number of fruits left
= 12 u + 11 u
= 23 u
23 u = 138
1 u = 138 ÷ 23 = 6
Number of fruits at first
= 12 u + 33 u
= 45 u
= 45 x 6
= 270
Answer(s): 270
