Question

The school wants to buy a new speaker system for the football stadium with the money they raised from the bake sale. They compared speaker system prices from two different distributors. From Schools'R'Us, a system, t, costs $210 less than twice the price of the same speaker system, d, at The Warehouse. The difference in price between the speaker system at Schools'R'Us and The Warehouse is $176.

Which system of equations can be used to determine the price of the speaker system at each distributor?

A. - 2t - d = -210
t - d = 176
B. - t - 2d = -210
-t + d = 176
C. - 2t - d = -210
-t + d = 176
D. - t - 2d = -210
t - d = 176

Answer 1

The correct system of equations that can be used to determine the price of the speaker system at each distributor is option D: - t - 2d = -210 and t - d = 176.

Step-by-step explanation:

The correct system of equations that can be used to determine the price of the speaker system at each distributor is option D: - t - 2d = -210 and t - d = 176.

We are given that the price of system t at Schools'R'Us is $210 less than twice the price of system d at The Warehouse. This can be represented as: t = 2d - 210. Additionally, the difference in price between the two systems is $176, which can be represented as: t - d = 176.

Simplifying these equations, we get: - t - 2d = -210 and t - d = 176. Therefore, option D is the correct system of equations.