Andy had 65% fewer lollipops than Jenson. After Jenson gave 384 lollipops to Andy, Andy had
34 as many lollipops as Jenson. How many lollipops did each of them have in the end?
- Jenson
- Andy
|
Andy |
Jenson |
Total |
Before |
7x7 = 49 u |
20x7 = 140 u |
27x7 = 189 u |
Change |
+ 384 |
- 384 |
|
After |
3x27 = 81 u |
4x27 = 108 u |
7x27 = 189 u |
Number of lollipops that Andy had at first in percentage
= 100% - 65%
= 35%
35% =
35100 =
720 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 27 is 189.
Number of lollipops that Jenson gave to Andy
= 140 u - 108 u
= 32 u
32 u = 384
1 u = 384 ÷ 32 = 12
Number of lollipops that Andy had in the end
= 81 u
= 81 x 12
= 972
Number of lollipops that Jenson had in the end
= 108 u
= 108 x 12
= 1296
Answer(s): (a) 972; (b) 1296