At a mart, the ratio of pears to grapefruits was 3 : 10. After Erika bought four-fifths of the grapefruits, there was a total of 15 pears and grapefruits left at the mart. How many fruits were there at first?
| |
Pears |
Grapefruits |
Total |
Comparing pears
and grapefruits at first |
3x1 =
3 u |
10x1 =
10 u |
13 u |
Before |
|
5x2 =
10 u |
|
Change |
|
- 4x2 =
- 8 u |
|
After |
3 u |
1x2 =
2 u |
15 |
The number of grapefruits at first is repeated. Make the number of grapefruits at first the same. LCM of 10 and 5 is 10.
Total number of fruits left
= 3 u + 2 u
= 5 u
5 u = 15
1 u = 15 ÷ 5 = 3
Number of fruits at first
= 3 u + 10 u
= 13 u
= 13 x 3
= 39
Answer(s): 39
