Owen had 80% fewer lollipops than Zane. After Zane gave 270 lollipops to Owen, Owen had
45 as many lollipops as Zane. How many lollipops did each of them have in the end?
- Zane
- Owen
| |
Owen |
Zane |
Total |
| Before |
1x9 =
9 u |
5x9 =
45 u |
6x9 =
54 u |
| Change |
+ 270 |
- 270 |
|
| After |
4x6 =
24 u |
5x6 =
30 u |
9x6 =
54 u |
Number of lollipops that Owen had at first in percentage
= 100% - 80%
= 20%
20% =
20100 =
15 The total number of lollipops at first and in the end remains unchanged. Make the total number of lollipops the same. LCM of 9 and 6 is 54.
Number of lollipops that Zane gave to Owen
= 45 u - 30 u
= 15 u
15 u = 270
1 u = 270 ÷ 15 = 18
Number of lollipops that Owen had in the end
= 24 u
= 24 x 18
= 432
Number of lollipops that Zane had in the end
= 30 u
= 30 x 18
= 540
Answer(s): (a) 432; (b) 540
