Question

Three families went to the movies together. The Smiths ordered two tubs of popcorn, one plate of nachos, and three drinks. They spent $65. The Langes ordered three tubs of popcorn, two plates of nachos, and five drinks. They spent $85. The Radfords ordered one tub of popcorn, one plate of nachos, and two drinks. They spent $40. Which system of equations matches their night at the movies?

Answer 1

The system of equations are:

`2t + n + 3d = 65`

`3t + 2n + 5d = 85`

`t + n + 2d = 40`

Explanation:

Consider the provided information.

let "t" represents tubes of popcorn, "n" represents nachos and "d" represents drink.

The Smiths ordered two tubs of popcorn, one plate of nachos, and three drinks. They spent $65. Which can be represents as:

`2t + n + 3d = 65`

Langes ordered three tubs of popcorn, two plates of nachos, and five drinks. They spent $85. Which can be represents as:

`3t + 2n + 5d = 85`

The Radfords ordered one tub of popcorn, one plate of nachos, and two drinks. They spent $40. Which can be represents as:

`t + n + 2d = 40`

Thus, the system of equations are:

`2t + n + 3d = 65`

`3t + 2n + 5d = 85`

`t + n + 2d = 40`

Answer 2

2t + n + 3d = 65

3t + 2n + 5d = 85

t + n + td = 40

Explanation:

tubs of popcorn = t

plates of nachos = n

drinks = d

The Smiths: 2t + n + 3d = 65

The Langes: 3t + 2n + 5d = 85

The Radfords: t + n + td = 40

So, the correct answer would be the one including all 3 of these equations. :)