Mrs. Thomas bought a bed for $1,548 and three armchairs. The bed cost 4 times as much as one armchair. How much did Mrs. Tomas spend together?

Let the cost of one armchair be x.

Then the cost of the bed is 4x.

Mrs. Thomas spent $1,548 on the bed and $3x on the three armchairs.

Therefore, the total amount spent is:
$1,548 + 3x = $1,548 + 3(4x) = $1,548 + 12x

Since the total amount spent is equal to the sum of the cost of the bed and armchairs, we can set this equation equal to the total amount spent:
$1,548 + 12x = $1,548

Therefore, the total amount spent by Mrs. Thomas is $1,548.