<span>This one is hard to explain in print. Let x be the side of the rectangle on the hypotenuse and y be the other side. There is a triangle formed at the right angle of the original which is similar to the original. So x is to 10 as z is to 8: x/10 = z/8 and z = 4/5 x The upper part of that leg would be 8 - 4/5 x
The triangle at the top is also similar: So y is to 6 as (8 - 4/5 x) is to 10: y/6 = (8-4/5 x)/10 and y = 3/5 (8- 4/5 x) = 24/5 - 12/25 x
6+5=11+5=16+5=21 3+6=9+6=15+6=21 It will take Marco and Sophie 3 hours to get the same amount of money. The amount of money they will have will be $21.
