On​ average, a family of two adults and two children pays ​$97 per night for lodging and $105 a day for food while on vacation this year. If this increases by ​4% over the next​ year, find the total cost per day for lodging and meals for such a family after the increase.

Luke started a weight-loss program. the first week, he lost x pounds. the second week, he lost pounds less than times the pounds he lost the first week. the third week, he lost 1 pound more than of the pounds he lost the first week. liam started a weight-loss program when luke did. the first week, he lost 1 pound less than times the pounds luke lost the first week. the second week, he lost 4 pounds less than times the pounds luke lost the first week. the third week, he lost pound more than times the pounds luke lost the first week.