Jeremy had 60% fewer lollipops than John. After John gave 380 lollipops to Jeremy, Jeremy had
45 as many lollipops as John. How many lollipops did each of them have in the end?
- John
- Jeremy
|
Jeremy |
John |
Total |
Before |
2x9 = 18 u |
5x9 = 45 u |
7x9 = 63 u |
Change |
+ 380 |
- 380 |
|
After |
4x7 = 28 u |
5x7 = 35 u |
9x7 = 63 u |
Number of lollipops that Jeremy 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 9 and 7 is 63.
Number of lollipops that John gave to Jeremy
= 45 u - 35 u
= 10 u
10 u = 380
1 u = 380 ÷ 10 = 38
Number of lollipops that Jeremy had in the end
= 28 u
= 28 x 38
= 1064
Number of lollipops that John had in the end
= 35 u
= 35 x 38
= 1330
Answer(s): (a) 1064; (b) 1330