Elise saved $184. she bought a scarf, a necklace, and a notebook. after her purchases, she still had $39.50. the scarf cost three-fifths the cost of the necklace, and the notebook was one-sixth as much as the scarf. what was the cost of each item? how much more did the necklace cost than the notebook?

Necklace: $85,

Notebook: $8.5

Scarf: $51

Necklace costs $76.5 more than the notebook.

Step-by-step explanation:

Let x represent cost of the necklace.

We have been given that Elise saved $184. She bought a scarf, a necklace, and a notebook.    

The scarf cost three-fifths the cost of the necklace, so the cost of scarf would be .

The notebook was one-sixth as much as the scarf, so the cost of notebook would be .

We are also told that she still have $39.50, so the cost of all items would be:

Now, we will equate cost of all items equal to $144.5 as:

Make a common denominator:

Therefore, the cost of necklace is $85.

Cost of notebook:

Therefore, the cost of notebook is $8.5.

Cost of scarf: .

Therefore, the cost of scarf is $51.

To find the difference between cost of necklace and notebook, we will subtract $8.5 from $85 as:

Therefore, necklace costs $76.5 more than the notebook.

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see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2