Cody had 70% fewer chocolate bars than Sam. After Sam gave 363 chocolate bars to Cody, Cody had
23 as many chocolate bars as Sam. How many chocolate bars did each of them have in the end?
- Sam
- Cody
|
Cody |
Sam |
Total |
Before |
3x5 = 15 u |
10x5 = 50 u |
13x5 = 65 u |
Change |
+ 363 |
- 363 |
|
After |
2x13 = 26 u |
3x13 = 39 u |
5x13 = 65 u |
Number of chocolate bars that Cody had at first in percentage
= 100% - 70%
= 30%
30% =
30100 =
310 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 13 is 65.
Number of chocolate bars that Sam gave to Cody
= 50 u - 39 u
= 11 u
11 u = 363
1 u = 363 ÷ 11 = 33
Number of chocolate bars that Cody had in the end
= 26 u
= 26 x 33
= 858
Number of chocolate bars that Sam had in the end
= 39 u
= 39 x 33
= 1287
Answer(s): (a) 858; (b) 1287