On a buying trip in los angeles, rosaria perez ordered 120 pieces of jewelry: a number of bracelets at $77 each and a number of necklaces at $1313 each. she wrote a check for $1 comma 0801,080 to pay for the order. how many bracelets and how many necklaces did rosaria purchase?

Let, the number of bracelets be x and the number of necklaces be y.

Given, there are 120 pieces of jewellery which are bracelets and necklaces.

So we can write the equation, ....equation 1

Now given the price of bracelet = $7

So, the price of x bracelets = $ =$

Given, the price of necklace = $13.

So, the price of y necklaces = $ = $

The total amount for the jewellery given = $ 1080.

We can write the equation as,

....equation 2

Now from equation 1, we can write,

By substituting this value of x in equation 2, we will get,

Now we will move 840 to the right side by subtracting it from both sides. We will get,

We can get y by moving 6 to the other side by dividing it to both sides. We will get,

So we have got the number of necklaces = 40

Now we have,

So, the number of bracelets = 80

We have got the required answer here.

y > 1/3x

y < = -x + 4

hope this : )

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