Question

4. Your school is having a fundraiser. You are selling candy bars that have been donated by the Hershey

Company. You set a personal goal of raising $200 for your school and met that goal. You sold a total of 120

candy bars and one neighbor gave you a $20 donation without taking any candy bars. Write and solve an

equation to determine how much each candy bar sold for. (Don't forget to define your variable and answer in a

complete sentence.)

Answer 1

120x + $20 = $200

x = $1,5

Explanation:

We need to find out the price of each candy bar we sold. Let's define x, our variable, as this price that we need to find out.

We know that we met the goal of raising $200 by selling candy bars and with the $20 donation. We need to have this in mind when we write the equation.

Therefore, if we multiply the 120 candy bars we sold by the unit price and we add the $20, it has to be equal to $200.

In math language, that is

120x + $20 = $200

Let's solve it to find out the x. First we subtract $20 from both sides:

120x + $20 - $20 = $200 - $20

120x = $180

Now we divide by 120:

120x/120 = $180/120

x = $1,5

We sold the candy bars for $1,5 each.

We can also interpret that we met the goal and exceed it. The calculation is the same but we need to change the equal sign with a greater sign, because the amount we raise was greater than $200. That is

120x + $20 > $200

With the same calculations, we will get

x > $1,5

That means that the candy bars were sold for more than $1,5 each.