How many necklaces must she sell in a month to make twice as much money as she spends? How much will she spend and how much will she make?

Question

Bonnie has a jewelry-making business. She rents a studio space for $400 per month, and each necklace she makes costs her $15 in  materials. She sells the necklaces for $55 each.

*substitution method*

Answer 1

Cost (c)=15x+400

Earned (e)= 55x

X=number of necklaces

 

So when does e=2c

55x=2(15x+400)

• Distribute the 2
• 55x=30x+800
• Subtract 30x from both sides
• 25x=800
• Divide both sides by 25
• X=32 necklaces

Plug in 32 to the cost and profit formulas and find:

 

The cost =$880

The amount earned=$1760

 

Profit=e-c

Profit=$1760-$880

Profit=$880

 

Answer 2

Let N = # necklaces sold per month

 

Monthly Operating Expenses:  15N + 400

Monthly Income: 55N

 

We want our income to equal twice the expenses so:

55N = 2(15N + 400)

55N = 30N + 800

25N = 800

N = 32

 

If Bonnie sells 32 necklaces a month she will earn twice

as much as she spends for rent and materials.

 

Check:  Income;  55(32) = 1760

            Expenses: 15(32) + 400 = 880

 

I = 2E:   1760 = 2(880)

             1760 = 1760

 

Hope this helps.  Good luck.