Simon had 60% fewer lollipops than Riordan. After Riordan gave 216 lollipops to Simon, Simon had
23 as many lollipops as Riordan. How many lollipops did each of them have in the end?
- Riordan
- Simon
|
Simon |
Riordan |
Total |
Before |
2x5 = 10 u |
5x5 = 25 u |
7x5 = 35 u |
Change |
+ 216 |
- 216 |
|
After |
2x7 = 14 u |
3x7 = 21 u |
5x7 = 35 u |
Number of lollipops that Simon had at first in percentage
= 100% - 60%
= 40%
40% =
40100 =
25 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 7 is 35.
Number of lollipops that Riordan gave to Simon
= 25 u - 21 u
= 4 u
4 u = 216
1 u = 216 ÷ 4 = 54
Number of lollipops that Simon had in the end
= 14 u
= 14 x 54
= 756
Number of lollipops that Riordan had in the end
= 21 u
= 21 x 54
= 1134
Answer(s): (a) 756; (b) 1134