Andy had 75% fewer chocolate bars than Zane. After Zane gave 390 chocolate bars to Andy, Andy had
23 as many chocolate bars as Zane. How many chocolate bars did each of them have in the end?
- Zane
- Andy
|
Andy |
Zane |
Total |
Before |
1x5 = 5 u |
4x5 = 20 u |
5x5 = 25 u |
Change |
+ 390 |
- 390 |
|
After |
2x5 = 10 u |
3x5 = 15 u |
5x5 = 25 u |
Number of chocolate bars that Andy 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 5 and 5 is 25.
Number of chocolate bars that Zane gave to Andy
= 20 u - 15 u
= 5 u
5 u = 390
1 u = 390 ÷ 5 = 78
Number of chocolate bars that Andy had in the end
= 10 u
= 10 x 78
= 780
Number of chocolate bars that Zane had in the end
= 15 u
= 15 x 78
= 1170
Answer(s): (a) 780; (b) 1170