Question

The total cost for 9 bracelets, including shipping was $72. The shipping charge was $9. Define your variable and write an equation that models the cost of each bracelet.

4. Use the equation you have written above determine the cost for each bracelet. Show the algebraic steps that it takes to find the answer. Provide your conclusion.

Answer 1

The cost of each bracelet is: $7

Explanation:

Let's call x the cost of each bracelet.

Then the cost of the 9 bracelets is:

9x

If we know that the cost of the bracelets plus the shipping was $ 72 and the cost of shipping is $ 9.

So

The total cost was:

`9x + 9 = 72`

Now we solve the equation for the variable x.

`9x + 9 = 72`

Subtract 9 on both sides of equality

`9x + 9-9 = 72-9`

`9x = 72-9`

`9x = 63`

Divide by 9 on both sides of equality

`(9)/(9)x = (63)/(9)`

`x = (63)/(9)`

`x = \$7`

Answer 2

a) Equation: 9x+9 = 72

b) x =7

Explanation:

The total cost of 9 bracelets = $72

Shipping charge = $9

a) Define your variable and write an equation that models the cost of each bracelet.

Let x be the cost of one bracelet, the equation will be

9x + 9 = 72

As 9 bracelets were there and the shipping cost was 9 and total cost was 72.

b) Use the equation you have written above determine the cost for each bracelet. Show the algebraic steps that it takes to find the answer.

Now solving the equation to find the value of x that represent cost of each bracelet

9x + 9 = 72

Adding -9 on both sides

9x +9 -9 = 72 -9

9x = 63

Dividing both sides by 9

9x/9 = 63/9

x = 7

The value of x=7 so, the cost of each bracelet is $7

c) Provide your conclusion.

So, each bracelet was of cost $7 and $9 was the shipping charge. so, the total cost is $72.

We would check whether our equation is satisfied.

9x+ 9 = 72

9(7) + 9 = 72

63 + 9 = 72

72 = 72

The equation is satisfied.