At a stall, the ratio of grapefruits to pears was 4 : 11. After Shiyun bought three-fifths of the pears, there was a total of 84 grapefruits and pears left at the stall. How many fruits were there at first?
| |
Grapefruits |
Pears |
Total |
Comparing grapefruits
and pears at first |
4x5 =
20 u |
11x5 =
55 u |
75 u |
Before |
|
5x11 =
55 u |
|
Change |
|
- 3x11 =
- 33 u |
|
After |
20 u |
2x11 =
22 u |
84 |
The number of pears at first is repeated. Make the number of pears at first the same. LCM of 11 and 5 is 55.
Total number of fruits left
= 20 u + 22 u
= 42 u
42 u = 84
1 u = 84 ÷ 42 = 2
Number of fruits at first
= 20 u + 55 u
= 75 u
= 75 x 2
= 150
Answer(s): 150
