Question

Abby already owns 18 necklaces, and additional necklaces are priced at 2 for a dollar. Howmuch money does Abby need to spend on new necklaces in order to own a total of 36necklaces?

Answer 1

Let be "x" the amount of money (in dollars) Abby needs to spend on new necklaces, in order to own a total of 36 necklaces.

According to the information given in the exercise, the cost of 2 additional necklaces is $1.

Since she already has 18 necklaces, you can identify that she needs 18 new necklaces in order to own 36 necklaces.

Knowing the above, you can set up te following proportion:

`(1)/(2)=(x)/(18)`

Now you must solve for "x" in order to find its value. You can do it by multiplying both sides of the equation by 18. Then, you get:

`\begin{gathered} (18)((1)/(2))=((x)/(18))(18) \\ \\ x=9 \end{gathered}`

Therefore, the answer is: She needs to spend $9.0 in order to own a total of 36 necklaces.