Kaden and Dan had $200 altogether. Kaden gave 2/7 of his money to Dan. As a result, Dan had 4 times as much money as Kaden. How much did Dan have at first?

Question

Show your work to get the answer $144 at first.

Answer 1

Kaden had $200 at first.
2/7 of $200 = $28.57
Kaden gave $28.57 to Dan.
Dan had $228.57 at first.
Dan had 4 times as much money as Kaden.
Kaden had $200 at first.
4 x $200 = $800
$228.57 - $800 = -$571.43
$228.57 + $571.43 = $800
Dan had $800 at first.
$800 - $228.57 = $571.43
Dan had $571.43 at first.
$571.43 - $200 = $371.43
Dan had $371.43 at first.
$371.43 + $200 = $571.43
Dan had $571.43 at first.
$571.43 - $371.43 = $200
Dan had $200 at first.
$200 - $28.57 = $171.43
Dan had $171.43 at first.
$171.43 + $28.57 = $200
Dan had $200 at first.
Answer: Dan had $200 at first.

Answer 2

all that garbage, and then nothing but wrong answers
k+d = 200
d + 2/7 k = 4(5/7 k)
Now we want to find d, so
d + 2/7 (200-d) = 4(5/7)(200-d)
d = 144
k = 56