Daniel had
38 the number of cards that Ethan had at first. After Ethan gave Daniel 72 of his cards, Daniel had
34 the number of cards that Ethan had. How many cards did Ethan have in the end?
| |
Daniel |
Ethan |
Total |
| Before |
3x7 =
21 u |
8x7 =
56 u |
11x7 =
77 u |
| Change |
+ 12 u |
- 12 u |
|
| After |
3x11 =
33 u |
4x11 =
44 u |
7x11 =
77 u |
The total number of cards that Daniel and Ethan had at first and in the end remains unchanged. Make the total number of cards the same. LCM of 11 and 7 is 77.
Number of cards that Ethan gave Daniel
= 33 u - 21 u
= 12 u
12 u = 72
1 u = 72 ÷ 12 = 6
Number of cards that Ethan had in the end
= 44 u
= 44 x 6
= 264
Answer(s): 264
