At a mart, the ratio of guavas to pears was 7 : 12. After Penelope bought two-thirds of the pears, there was a total of 121 guavas and pears left at the mart. How many fruits were there at first?
| |
Guavas |
Pears |
Total |
Comparing guavas
and pears at first |
7x1 =
7 u |
12x1 =
12 u |
19 u |
Before |
|
3x4 =
12 u |
|
Change |
|
- 2x4 =
- 8 u |
|
After |
7 u |
1x4 =
4 u |
121 |
The number of pears at first is repeated. Make the number of pears at first the same. LCM of 12 and 3 is 12.
Total number of fruits left
= 7 u + 4 u
= 11 u
11 u = 121
1 u = 121 ÷ 11 = 11
Number of fruits at first
= 7 u + 12 u
= 19 u
= 19 x 11
= 209
Answer(s): 209
