Dylan had 80% fewer lollipops than Fabian. After Fabian gave 152 lollipops to Dylan, Dylan had
56 as many lollipops as Fabian. How many lollipops did each of them have in the end?
- Fabian
- Dylan
|
Dylan |
Fabian |
Total |
Before |
1x11 = 11 u |
5x11 = 55 u |
6x11 = 66 u |
Change |
+ 152 |
- 152 |
|
After |
5x6 = 30 u |
6x6 = 36 u |
11x6 = 66 u |
Number of lollipops that Dylan 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 11 and 6 is 66.
Number of lollipops that Fabian gave to Dylan
= 55 u - 36 u
= 19 u
19 u = 152
1 u = 152 ÷ 19 = 8
Number of lollipops that Dylan had in the end
= 30 u
= 30 x 8
= 240
Number of lollipops that Fabian had in the end
= 36 u
= 36 x 8
= 288
Answer(s): (a) 240; (b) 288