Question

Two rival dry cleaners both advertise their prices. Store A's prices are modeled by the expression 30x - 8, where x is the number of items brought in. Store B's prices are modeled by the expression 6(5x + 3), where x is the number of items brought in. When do the two stores charge the same rate?​

Answer 1

Store A's prices are represented by the expression 15x - 2.

Store B's prices are represented by the expression 3(5x + 7).

To find when the 2 stores charge the same rate , we set the expression equal and solve for x

15x - 2 = 3(5x+7)

15x -2 = 15x + 21

Subtract 15x on both sides

-2 = 21

We cannot solve for x

So , the price of two stores never be same

Two stores never charge the same rate