AT the movies, you order 3 boxes of popcorn and a bottle of water. the cost of the bottle of water is $1.75. your total cost is 9.25

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Let x = cost of a box of popcorn.

3x + 1.75 = 9.25

Subtract 1.75 from both sides:

3x = 9.25-1.75

3x = 7.50

Divide both sides by 3:

x = 7.50/3 = $2.50

Travina - Happy to help

1st - Determine what you are trying to solve - in this case - cost of 1 box of popcorn

2nd - Write an equation - (popcorns + bottle water = Total cost)

Let x = 1 popcorn

x+x+x+1.75 = 9.25

Simplified: 3x+1.75 = 9.25

3rd - Solve the equation

3x+1.75 = 9.25 subtract 1.75 from both sides

3x = 7.50 divide both sides by 3

x = 2.50 1 box of popcorn costs $2.50

Hope this helps you understand the process of writing and solving the equation.

John M. | John - Algebra TutorJohn - Algebra Tutor

Popcorn costs $x

Water costs $1.75

3 popcorns and 1 bottle of water cost $9.25.

Then:

3x+1.75=9.25

-->3x=7.50

-->x =2.50

Solution: One box of popcorn costs $2.50

let P be the price of one popcorn and W be the price of bottle of water which is 1.75, so:

3P + W = 9.25

we know W = 1.75 so

3P + 1.75 = 9.25

subtract 1.75 from both sides:

3P + 1.75 -1.75 = 9.25 - 1.75

3P = 7.50

divide both sides by 3:

P = 7.50 /3 = 2.50

so, one box of popcorn is **$2.50**

Hi Travina;

3p+$1.75=$9.25

Let's subtract $1.75 from both sides...

-$1.75+3p+$1.75=$9.25-$1.75

3p=$7.50

Let's divide both sides by 3...

(3p)/3=$7.50/3

p=$2.50

Let's check our work...

$2.50

$2.50

$2.50

$1.75

$9.25

let x=cost of one box of popcorn

3x+$1.75=$9.25

3x=$9.25-$1.75

3x=$7.50

x=$7.50/3

x=$2.50

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