Danielle put $582 in the bank. Her brother put 3 times as much money in the bank. Her sister put 1/3 as much money in the bank. How much money combined did Danielle’s brother and sister put in the bank?

Danielle's brother put 3 x $582 = $<<3*582=1746>>1746 in the bank.

Her sister put $582/3 = $<<582/3=194>>194 in the bank.
So, Danielle's brother and sister put a total of $1746 + $194 = $<<1746+194=1940>>1940 in the bank. Answer: \boxed{1940}.

To find the combined amount of money Danielle's brother and sister put in the bank, we need to add together their individual amounts.

Let's first find out how much money Danielle's brother put in the bank. We know that Danielle put $582, and her brother put 3 times as much money. Therefore, the amount her brother put in the bank is:

3 * $582 = $<<3*582=1746>>1746.

Next, let's find out how much money Danielle's sister put in the bank. We know that Danielle put $582, and her sister put 1/3 as much money. Therefore, the amount her sister put in the bank is:

(1/3) * $582 = $<<1/3*582=194>>194.

To find the combined amount, we add together the amounts her brother and sister put in the bank:

$1746 + $194 = $<<1746+194=1940>>1940.

Therefore, Danielle's brother and sister together put $1940 in the bank.

To find out how much money Danielle's brother put in the bank, you need to multiply the amount Danielle put in the bank, which is $582, by 3.

3 x $582 = $1746

So, Danielle's brother put $1746 in the bank.

Next, to find out how much money her sister put in the bank, you need to divide the amount Danielle put in the bank, which is $582, by 3.

$582 ÷ 3 = $194

Therefore, Danielle's sister put $194 in the bank.

To find out how much money combined Danielle's brother and sister put in the bank, you need to add the amounts they each put in the bank.

$1746 + $194 = $1940

Therefore, Danielle's brother and sister combined put $1940 in the bank.