The Sparkly Jewel Company sold two types of diamonds, marquee cut for $1200 and princess cut for $1800. It sold seventy-five diamonds during a sales campaign for
Christmas. It received $112,200 in sales. How many diamonds were sold of each
type?

Anew obstacle course is home to several new types of challenging obstacles. one such obstacle is traversing a 15-stair staircase. to make it more challenging, the stairs are not uniformly spaced. rather, the vertical space between consecutive stairs for the first 10 stairs is 113 feet and the vertical space for the last 5 stairs is 134 feet. what is the total vertical distance traveled ascending and descending the entire 15-stair staircase?