Math question

Question

One day at a bake sale, Sarah sold 24 brownies and 18 cupcakes, totaling $28.80. The next day, she sold 12 brownies and 10 cupcakes, totaling $15.00. How much did each cupcake cost?

Answer 1

Let b=cost of each brownie

Let c=cost of each cupcake

 

Therefore the system of equations becomes.

 

24b+18c=28.80 The first day

12b+10c=15.00 The next day

 

Let's solve by eliminating the variable b in which would enable to solve for the cost of each cupcake.

Multiply the second equation by -2 in which the systems of equation becomes.

 

 24b+18c=28.80

-24b-20c=-30.00

 

       -2c=-1.20 Divide both sides by -2.

          c=0.60

 

Therefore, the cost of each cupcake is $0.60 or 60¢.

 

Hope this helps.