Question

The price, t, of a lawn mower at Turf Cutters is $240 less than twice the price, d, of the same lawn mower at Lawn Masters. The difference in price between the mower at Turf Cutters and Lawn Masters is $320. Which system of equations can be used to determine the price of the mower at each store? A. t - 2d = -240 t - d = 320 B. 2t - 2d = 240 t + d = 320 C. 2t - d = 240 t - d = -320 D. t - 2d = -240 t - d = -320

Answer 1

Answer: A. t - 2d = -240 t - d = 320

Explanation:

Let t be the price of a lawn mower at Turf Cutters and d be the price of the same lawn mower at Lawn Masters.

As per given , we have

The price, t, of a lawn mower at Turf Cutters is $240 less than twice the price, d, of the same lawn mower at Lawn Masters.

`2d-240=t\\\\\Rightarrow\ t-2d=-240 ...(i)`

The difference in price between the mower at Turf Cutters and Lawn Masters is $320.

`t-d=320 ...(ii)`

So, the system of equations can be used to determine the price of the mower at each store is

`t-2d=-240\\\\t-d=320`

Hence, the correct option is "A."