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## write and solve an equation to find the cost of one box of popcorn?

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

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.

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