Zane had pears and pomegranates. The ratio of pears to pomegranates was 9 : 2. After
12 of the pears and 6 pomegranates were sold, there were 9 times as many pears as pomegranates left. How many pears and pomegranates were there at first?
| |
Pears |
Pomegranates |
Comparing pears
and pomegranates at first |
9x2 =
18 u |
2x2 =
4 u |
| Before |
2x9 =
18 u |
|
| Change |
- 1x9 =
- 9 u |
- 6 |
| After |
1x9 =
9 u |
|
Comparing pears
and pomegranates in the end |
9 u |
1 u |
The number of pears at first is repeated. Make the number of pears at first the same. LCM of 9 and 2 is 18.
Number of pomegranates sold
= 4 u - 1 u
= 3 u
3 u = 6
1 u = 6 ÷ 3 = 2
Number of pears and pomegranates at first
= 18 u + 4 u
= 22 u
= 22 x 2
= 44
Answer(s): 44
