At a mart, the ratio of apples to grapefruits was 3 : 10. After Xylia bought two-thirds of the grapefruits, there was a total of 171 apples and grapefruits left at the mart. How many fruits were there at first?
| |
Apples |
Grapefruits |
Total |
Comparing apples
and grapefruits at first |
3x3 =
9 u |
10x3 =
30 u |
39 u |
Before |
|
3x10 =
30 u |
|
Change |
|
- 2x10 =
- 20 u |
|
After |
9 u |
1x10 =
10 u |
171 |
The number of grapefruits at first is repeated. Make the number of grapefruits at first the same. LCM of 10 and 3 is 30.
Total number of fruits left
= 9 u + 10 u
= 19 u
19 u = 171
1 u = 171 ÷ 19 = 9
Number of fruits at first
= 9 u + 30 u
= 39 u
= 39 x 9
= 351
Answer(s): 351
