Ivan had 60% fewer chocolate bars than Nick. After Nick gave 236 chocolate bars to Ivan, Ivan had
23 as many chocolate bars as Nick. How many chocolate bars did each of them have in the end?
- Nick
- Ivan
|
Ivan |
Nick |
Total |
Before |
2x5 = 10 u |
5x5 = 25 u |
7x5 = 35 u |
Change |
+ 236 |
- 236 |
|
After |
2x7 = 14 u |
3x7 = 21 u |
5x7 = 35 u |
Number of chocolate bars that Ivan had at first in percentage
= 100% - 60%
= 40%
40% =
40100 =
25 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 7 is 35.
Number of chocolate bars that Nick gave to Ivan
= 25 u - 21 u
= 4 u
4 u = 236
1 u = 236 ÷ 4 = 59
Number of chocolate bars that Ivan had in the end
= 14 u
= 14 x 59
= 826
Number of chocolate bars that Nick had in the end
= 21 u
= 21 x 59
= 1239
Answer(s): (a) 826; (b) 1239