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.

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.

no solution

step-by-step explanation:

there is not enough information in the problem to solve.