Bill and Abhasra are selling pies for a school fundraiser. Customers can buy cherry pies and pumpkin pies. Bill sold 4 cherry pies and 4 pumpkin pies for a total of $100. Abhasra sold 1 cherry pie and 3 pumpkin
pies for a total of $53. What is the cost each of one cherry pie and one pumpkin pie?

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116