Complete the steps for writing and solving a linear equation to model a real-world situation.

Question

image.png	Kayla sold several $5 bracelets and one $12 necklace.  She earned $42.

How many bracelets did she sell?

Steps		Work shown
1)	
What information do we NOT know but is needed?

image.png	The number of 
Question Blank 1 of 4
choose your answer...
 she sold.
2)

Represent what we don't know using the variable x.

This is called
"defining the variable"

image.png	Let x represent the number of bracelets sold.
3)

Write an expression with x

image.png

Money made from items sold:

5 bracelets = $5 times x
1 necklace = $12

Total money made = 
Question Blank 2 of 4
choose your answer...

4)

Solve for x

image.png	x = 
Question Blank 3 of 4
choose your answer...

This means Kayla sold 
Question Blank 4 of 4
choose your answer...
.
5)

Check your answer.

image.png	Does $5 times 6 combined with the $12 she made on the necklace equal to a total of $42?

GPT-4o mini · Answer

Let's complete the steps for writing and solving a linear equation based on the given real-world situation involving Kayla's sales.

What information do we NOT know but is needed?

The number of bracelets she sold.
Represent what we don't know using the variable x.

This is called "defining the variable."

Let x represent the number of bracelets sold.
Write an expression with x

Money made from items sold:
- 5 bracelets = $5 times x → $5x$
- 1 necklace = $12
Total money made = $5x + 12$
Solve for x

Set up the equation based on the total earnings: \[ 5x + 12 = 42 \]

Now, solve for $x$: \[ 5x + 12 - 12 = 42 - 12 \] \[ 5x = 30 \] \[ x = \frac{30}{5} \] \[ x = 6 \]

This means Kayla sold 6 bracelets.
Check your answer.

Does $5 \times 6 + 12 = 42$?
- Calculate:$5 \times 6 = 30$
- Adding the necklace amount: $30 + 12 = 42$
Yes, $42$ is equal to $42$, so the solution is correct.