At a supermarket, the ratio of pears to lemons was 9 : 10. After Xylia bought two-fifths of the lemons, there was a total of 30 pears and lemons left at the supermarket. How many fruits were there at first?
| |
Pears |
Lemons |
Total |
Comparing pears
and lemons at first |
9x1 =
9 u |
10x1 =
10 u |
19 u |
Before |
|
5x2 =
10 u |
|
Change |
|
- 2x2 =
- 4 u |
|
After |
9 u |
3x2 =
6 u |
30 |
The number of lemons at first is repeated. Make the number of lemons at first the same. LCM of 10 and 5 is 10.
Total number of fruits left
= 9 u + 6 u
= 15 u
15 u = 30
1 u = 30 ÷ 15 = 2
Number of fruits at first
= 9 u + 10 u
= 19 u
= 19 x 2
= 38
Answer(s): 38
