Math / Algebra

QuestionEmily is making jewelry. Write an expression that shows how much it will cost Emily for the long-length chain, bracelet, and for $b$ beads that cost $\$0.30$ each. Then, find the total cost of the jewelry if Emily uses 22 beads.
Jewelry Length | Cost of Chain | Cost of Bracelet ---|---|---| Long | $\$2.50$ | $\$7.50$ Medium | $\$1.95$ | $\$3.75$ Short | $\$1.25$ | $\$2.49$
The total cost for a long-length jewelry using $b$ beads is $2.50 + 7.50 + 0.30b$ . (Use the operation symbols in the math palette as needed. Do not include the \$ symbol in your answer. Use whole numbers or decimals for any numbers in the expression.)
The total cost of the jewelry using 22 beads is $\$$ (Type a whole number or a decimal.)

Studdy Solution

STEP 1

What is this asking? We need to figure out how much Emily will spend making jewelry with a long chain, bracelet, and some beads. Watch out! Don't forget to add the cost of all the parts: the chain, the bracelet, and the beads!

STEP 2

1. Formula
2. Calculation

STEP 3

Alright, let's define our variables!
Let $C$ be the cost of the chain, $B$ be the cost of the bracelet, and $b$ be the number of beads.
Each bead costs $\$0.30$ .

STEP 4

The total cost of the jewelry is the sum of the cost of the chain, the cost of the bracelet, and the cost of the beads.
We can write this as: $\text{Total Cost} = C + B + 0.30 \cdot b$

STEP 5

From the table, the cost of a long chain is $C = \$2.50$ and the cost of the bracelet is $B = \$7.50$ .
So, our formula becomes: $\text{Total Cost} = 2.50 + 7.50 + 0.30 \cdot b$

STEP 6

Now, we know Emily is using $b = \textbf{22}$ beads.
Let's plug that in: $\text{Total Cost} = 2.50 + 7.50 + 0.30 \cdot 22$

STEP 7

First, let's multiply the cost of each bead by the number of beads: $0.30 \cdot 22 = \textbf{6.60}$ So, the beads cost $\$\textbf{6.60}$ .

STEP 8

Now, let's add everything up: $\text{Total Cost} = 2.50 + 7.50 + 6.60$ $\text{Total Cost} = 10.00 + 6.60$ $\text{Total Cost} = \textbf{16.60}$

STEP 9

The total cost of Emily's jewelry is $\$16.60$ .

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Studdy Solution

STEP 1

What is this asking? We need to figure out how much Emily will spend making jewelry with a long chain, bracelet, and some beads. Watch out! Don't forget to add the cost of all the parts: the chain, the bracelet, and the beads!

STEP 2

1. Formula
2. Calculation

STEP 3

Alright, let's define our variables!
Let $C$ be the cost of the chain, $B$ be the cost of the bracelet, and $b$ be the number of beads.
Each bead costs $\$0.30$ .

STEP 4

The total cost of the jewelry is the sum of the cost of the chain, the cost of the bracelet, and the cost of the beads.
We can write this as: $\text{Total Cost} = C + B + 0.30 \cdot b$

STEP 5

From the table, the cost of a long chain is $C = \$2.50$ and the cost of the bracelet is $B = \$7.50$ .
So, our formula becomes: $\text{Total Cost} = 2.50 + 7.50 + 0.30 \cdot b$

STEP 6

Now, we know Emily is using $b = \textbf{22}$ beads.
Let's plug that in: $\text{Total Cost} = 2.50 + 7.50 + 0.30 \cdot 22$

STEP 7

First, let's multiply the cost of each bead by the number of beads: $0.30 \cdot 22 = \textbf{6.60}$ So, the beads cost $\$\textbf{6.60}$ .

STEP 8

Now, let's add everything up: $\text{Total Cost} = 2.50 + 7.50 + 6.60$ $\text{Total Cost} = 10.00 + 6.60$ $\text{Total Cost} = \textbf{16.60}$

STEP 9

The total cost of Emily's jewelry is $\$16.60$ .

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Studdy Solution

STEP 1

What is this asking? We need to figure out how much Emily will spend making jewelry with a long chain, bracelet, and some beads. Watch out! Don't forget to add the cost of all the parts: the chain, the bracelet, *and* the beads!

STEP 2

1. Formula2. Calculation

STEP 3

Alright, let's **define** our variables!Let CCC be the cost of the chain, BBB be the cost of the bracelet, and bbb be the number of beads.Each bead costs $0.30\$0.30$0.30.

STEP 4

The **total cost** of the jewelry is the sum of the cost of the chain, the cost of the bracelet, and the cost of the beads.We can write this as: Total Cost=C+B+0.30⋅b \text{Total Cost} = C + B + 0.30 \cdot b Total Cost=C+B+0.30⋅b

STEP 5

From the table, the cost of a **long chain** is C=$2.50C = \$2.50C=$2.50 and the cost of the **bracelet** is B=$7.50B = \$7.50B=$7.50.So, our **formula** becomes: Total Cost=2.50+7.50+0.30⋅b \text{Total Cost} = 2.50 + 7.50 + 0.30 \cdot b Total Cost=2.50+7.50+0.30⋅b

STEP 6

Now, we know Emily is using b=22b = \textbf{22}b=22 beads.Let's **plug that in**: Total Cost=2.50+7.50+0.30⋅22 \text{Total Cost} = 2.50 + 7.50 + 0.30 \cdot 22 Total Cost=2.50+7.50+0.30⋅22

STEP 7

First, let's multiply the cost of each bead by the number of beads: 0.30⋅22=6.60 0.30 \cdot 22 = \textbf{6.60} 0.30⋅22=6.60 So, the beads cost $6.60\$\textbf{6.60}$6.60.

STEP 8

Now, let's **add everything up**: Total Cost=2.50+7.50+6.60 \text{Total Cost} = 2.50 + 7.50 + 6.60 Total Cost=2.50+7.50+6.60 Total Cost=10.00+6.60 \text{Total Cost} = 10.00 + 6.60 Total Cost=10.00+6.60Total Cost=16.60 \text{Total Cost} = \textbf{16.60} Total Cost=16.60

STEP 9

The total cost of Emily's jewelry is $16.60\$16.60$16.60.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

What is this asking? We need to figure out how much Emily will spend making jewelry with a long chain, bracelet, and some beads. Watch out! Don't forget to add the cost of all the parts: the chain, the bracelet, and the beads!

1. Formula
2. Calculation

Alright, let's define our variables!
Let $C$ be the cost of the chain, $B$ be the cost of the bracelet, and $b$ be the number of beads.
Each bead costs $\$0.30$ .

The total cost of the jewelry is the sum of the cost of the chain, the cost of the bracelet, and the cost of the beads.
We can write this as: $\text{Total Cost} = C + B + 0.30 \cdot b$

From the table, the cost of a long chain is $C = \$2.50$ and the cost of the bracelet is $B = \$7.50$ .
So, our formula becomes: $\text{Total Cost} = 2.50 + 7.50 + 0.30 \cdot b$

Now, we know Emily is using $b = \textbf{22}$ beads.
Let's plug that in: $\text{Total Cost} = 2.50 + 7.50 + 0.30 \cdot 22$

First, let's multiply the cost of each bead by the number of beads: $0.30 \cdot 22 = \textbf{6.60}$ So, the beads cost $\$\textbf{6.60}$ .

Now, let's add everything up: $\text{Total Cost} = 2.50 + 7.50 + 6.60$ $\text{Total Cost} = 10.00 + 6.60$ $\text{Total Cost} = \textbf{16.60}$

The total cost of Emily's jewelry is $\$16.60$ .