Bryan had 75% fewer chocolate bars than Brandon. After Brandon gave 400 chocolate bars to Bryan, Bryan had
34 as many chocolate bars as Brandon. How many chocolate bars did each of them have in the end?
- Brandon
- Bryan
|
Bryan |
Brandon |
Total |
Before |
1x7 = 7 u |
4x7 = 28 u |
5x7 = 35 u |
Change |
+ 400 |
- 400 |
|
After |
3x5 = 15 u |
4x5 = 20 u |
7x5 = 35 u |
Number of chocolate bars that Bryan had at first in percentage
= 100% - 75%
= 25%
25% =
25100 =
14 The total number of chocolate bars at first and in the end remains unchanged. Make the total number of chocolate bars the same. LCM of 7 and 5 is 35.
Number of chocolate bars that Brandon gave to Bryan
= 28 u - 20 u
= 8 u
8 u = 400
1 u = 400 ÷ 8 = 50
Number of chocolate bars that Bryan had in the end
= 15 u
= 15 x 50
= 750
Number of chocolate bars that Brandon had in the end
= 20 u
= 20 x 50
= 1000
Answer(s): (a) 750; (b) 1000