Paul had 80% fewer lollipops than Zane. After Zane gave 264 lollipops to Paul, Paul had
34 as many lollipops as Zane. How many lollipops did each of them have in the end?
- Zane
- Paul
| |
Paul |
Zane |
Total |
| Before |
1x7 =
7 u |
5x7 =
35 u |
6x7 =
42 u |
| Change |
+ 264 |
- 264 |
|
| After |
3x6 =
18 u |
4x6 =
24 u |
7x6 =
42 u |
Number of lollipops that Paul 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 7 and 6 is 42.
Number of lollipops that Zane gave to Paul
= 35 u - 24 u
= 11 u
11 u = 264
1 u = 264 ÷ 11 = 24
Number of lollipops that Paul had in the end
= 18 u
= 18 x 24
= 432
Number of lollipops that Zane had in the end
= 24 u
= 24 x 24
= 576
Answer(s): (a) 432; (b) 576
