You have $20 dollars to spend at the movies. All popcorns are $5 and all candies are $4. Write an equation to describe how many popcorns and candies you can spend at the movies.

5p + 4c = 20

Step-by-step explanation:

lets have p stand for the number of popcorn we buy and c stand for the number of candy we buy

you can only spend $20, so we know we need to set our equation equal to $20

now we take the price of of popcorn and multiply it p, the number of popcorn we buy. and we can do the same thing with candy.

so we end up with 5p + 4c = 20

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

fwms@lil_ben06

step-by-step explanation: