Math question, pls help!!

Question

at a bake sale, brownies were sold for $0.75 each and cookies were sold for $0.50 each. There were 10 more cookies sold than brownies, and the total amount earned was $40. How many brownies and cookies were sold at the bake sale?

Answer 1

Hi! So step one would be to assign variables for brownies and cookies. Brownies will be represented by X and cookies Y. Now you will need to set up two equations. The first one is the given 0.75X+0.5Y=40 and the second equation is Y=X+10 because there was 10 more cookies than brownies. Now plug in what Y equals into the first equation. 0.75X+0.5(X+10)=40 next you will distribute 0.5 to the items in parenthesis leaving 0.75x+0.5X+5=40 now solve for X. Combines like terms to get 1.25x+5=40 subtract 5 over to leave 1.25X=35 and divide for X. So X equals 28. Now that you know X, plug it into the other equation to find Y. Y=28+10 which is Y=38. Now you know that you have 28 brownies and 38 cookies!