Question

Can someone please help me please please help me please

Answer 1

YOUR ANSWER: Elena's sales and expenses will both be $396 if she sells 36 boxes of cards.

Explanation:

Hi,

To begin, you have to write two separate equations to represent both, how much she spends, and how much she gets after selling her box of cards.

We know that she pays $9.50 for materials per box. We also know she pays $54 for her booth. We can write the equation...

y = 9.5x + 54

Now, to get the equation for how much she gets, we know that she sells each box of cards for $11. We can simply write...

y = 11x

Now, this is a system of equations. All we have to do is solve.

We know that y = 11x. We can plug it into the first equation like this...

11x = 9.5x + 54

Now, isolate the variable, x.

Subtract 9.5x on both sides...

1.5x = 54

Divide by 1.5 on both sides...

x = 36

Now, plug in 36 in both equations to get the value she has after selling 36 boxes.

In the first one...

y = 9.5 (36) + 54

y = 396

Now, the second one... (if we're right, it also has to equal 396)

y = 11 (36)

y = 396

That means we're correct.

YOUR ANSWER: Elena's sales and expenses will both be $396 if she sells 36 boxes of cards.

I hope this helps, let me know if you need anything else :)

Answer 2

Elena's sales and expenses will both be $0 if she sells 36 boxes of cards.

Explanation:

Elena paid a flat fee of $54 as well as $9.50 for each box. She sells each box of cards for $11. Set the equation. Let the amount of box be signified by the variable, x.

9.50x + 54 = 11x

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. First, subtract 9.50x from both sides of the equation:

9.50x (-9.50x) + 54 = 11x (-9.50x)

54 = 11x - 9.50x

54 = 1.50x

Next, divide 1.50 from both sides of the equation:

(54)/1.50 = (1.50x)/1.50

x = 54/1.50

x = 36

36 boxes is your answer, and the sales and expense will be $0. She breaks even.

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