We know that a pizza parlor makes 52 pizza crusts the first week of summer and 180 pizza crusts each subsequent week. This means that the total pizza crusts made by the parlor will be equal to the sum of 52 and the product of 180 multiplied by the number of weeks x.
Pizza Parlor = 52 +180x
We also know that a diner makes 26 pizza crusts the first week of summer and 90 pizza crusts each subsequent week. Then, its total production will be equal to the sum of 25 and the product of 90 multiplied by the number of weeks.
Diner = 26 + 90x
We want to find the number of weeks when the total number of pizza crusts made by the pizza parlor will be twice the total number of pizza crusts made by the diner. To do so, we will equate the total pizza crusts made by the parlor and double of the total made by the diner. Then, we can use inverse operations to isolate the variable on one side of the equation.
