Question

Write a story problem that represents 4x+2=84

Answer 1

Tickets to the local fair cost $4 each, and there is a $2 parking fee. Tom spends $84 at the fair. How many people could Tom have bought tickets for? (Assume he spends some money on other things at the fair.)

Explanation:

Let x represent the number of people going to the fair. Since it costs $4 for each ticket, this gives us the expression 4x.

Since there is a $2 parking fee, we add 2 to our expression, giving us 4x+2.

Since Tom spends $84 at the fair, this gives us 4x+2=84.

To solve this, look at the side of the equation with the variable, 4x+2. Start with the number farthest away from the variable, 2. To cancel it, we would perform the opposite operation; it was added, so we subtract:

4x+2-2 = 84-2

4x=82

The only other number left to cancel is 4. Since it is multiplied by x, we will cancel it by performing the opposite operation, division:

4x/4 = 82/4

x = 20.5

Since Tom can't pay for half of a person to enter the fair, he could have paid for 20 people to enter. (Again, remember that Tom spent money on other things at the fair as well.)

Answer 2

Hello there! :)

Answer:

x=41/2 and x=20.5 to 21.0

Explanation:

First, you subtract by 2 from both sides of an equation.

`4x+2-2=84-2`

Then, you subtract by the numbers from left to right,

`84-2=82`

`4x=82`

You divide by 4 from both sides of an equation.

`(4x)/(4)=(82)/(4)`

Finally, you divide by the numbers from left to right.

`x=(41)/(2)=20.5=21.0`

Final answer is x=41/2, 20.5=21.0

Hope this helps!

Have a nice day! :)

:D