Xavier had 75% fewer lollipops than Flynn. After Flynn gave 275 lollipops to Xavier, Xavier had
23 as many lollipops as Flynn. How many lollipops did each of them have in the end?
- Flynn
- Xavier
|
Xavier |
Flynn |
Total |
Before |
1x5 = 5 u |
4x5 = 20 u |
5x5 = 25 u |
Change |
+ 275 |
- 275 |
|
After |
2x5 = 10 u |
3x5 = 15 u |
5x5 = 25 u |
Number of lollipops that Xavier had at first in percentage
= 100% - 75%
= 25%
25% =
25100 =
14 The total number of lollipops at first and in the end remains unchanged. Make the total number of lollipops the same. LCM of 5 and 5 is 25.
Number of lollipops that Flynn gave to Xavier
= 20 u - 15 u
= 5 u
5 u = 275
1 u = 275 ÷ 5 = 55
Number of lollipops that Xavier had in the end
= 10 u
= 10 x 55
= 550
Number of lollipops that Flynn had in the end
= 15 u
= 15 x 55
= 825
Answer(s): (a) 550; (b) 825