David had 70% fewer lollipops than Ben. After Ben gave 297 lollipops to David, David had
23 as many lollipops as Ben. How many lollipops did each of them have in the end?
- Ben
- David
| |
David |
Ben |
Total |
| Before |
3x5 =
15 u |
10x5 =
50 u |
13x5 =
65 u |
| Change |
+ 297 |
- 297 |
|
| After |
2x13 =
26 u |
3x13 =
39 u |
5x13 =
65 u |
Number of lollipops that David had at first in percentage
= 100% - 70%
= 30%
30% =
30100 =
310 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 13 is 65.
Number of lollipops that Ben gave to David
= 50 u - 39 u
= 11 u
11 u = 297
1 u = 297 ÷ 11 = 27
Number of lollipops that David had in the end
= 26 u
= 26 x 27
= 702
Number of lollipops that Ben had in the end
= 39 u
= 39 x 27
= 1053
Answer(s): (a) 702; (b) 1053
