1. Let B represent boats sold by Boater Paradise and P represent boats sold by Pelican Marine. Given that total boats sold were 33, this information can be represented sing the equation.
Given that Boater Paradise sold five boats more than Pelican Marine, express B in terms of P . Substituting this in the first equation, we get
Subtracting 5 from both side of the equation gives
Dividing both sides of the equation by 2 gives
Hence obtaining the value of P as
Substituting P in B gives the value of B as
Boater Paradise sold 19 boats while Pelican Marine sold 14 boats
2. Let X represent revenue made by cupcake café on doughnuts and Y represent revenue made on muffins.
Total revenue made is 44000 hence we have the equation
But revenue on cupcakes is 4 ½ times more than revenue on muffins hence we have. Substituting this in the previous equation we have
Multiplying both sides of the equation by to solve the equation gives
Solving for x we get,
Therefore, revenue made by cupcake café from doughnuts is 36000 while revenue made from muffins is 8000.
3. Ethan Hunt catches the terrorist in 10days, implying that in a day, he covers of the work towards catching the terrorist.
Luther Stickell catches the terrorist in 11days, implying that in a day, he covers of the work towards catching the terrorist.
Working together, they can cover of the work in a day towards catching the terrorist, implying they will catch the terrorist in days which is equivalent to days.