For her 12th birthday, katie received a gift certificate for $50 to her favorite buffet restaurant. the dinner price for an adult is $8.50, and the price for a child under 12 is $6.50. katie wants to add one dessert buffet to her dinner for an additional $4.50. (a) write an inequality to represent this situation. let a represent the number of adults eating dinner and c represent the number of children eating dinner. (b) katie wants to invite some of her family and friends to go to dinner with her. which combinations will make the inequality from (a) true? show your work. combination 1: katie invites both of her parents, her six-year-old sister, and two of her 11-year-old friends. combination 2: katie invites her mother, her elderly aunt and uncle, and two cousins, who are both 12 years old. combination 3: katie invites her grandmother, who is 68. the price for seniors 65 and older is $7.00. she also invites her mother, two 11-year-old friends, and one 12-year-old friend.