To solve this problem, we need to determine the value of x, which represents the number of orders for a complete jewelry ensemble that Nina received.
Let's break down the information given:
Cost of a necklace: $25.00
Cost of a bracelet: $15.00
Cost of a pair of earrings: $10.00
Number of necklaces sold: 5
Number of bracelets sold: 10
Number of pairs of earrings sold: 20
Cost of a complete jewelry ensemble: $45.00
Total money made: $565.00
We can set up the equation as follows:
(Number of necklaces sold * Cost of a necklace) + (Number of bracelets sold * Cost of a bracelet) + (Number of pairs of earrings sold * Cost of a pair of earrings) + (Number of orders for a complete jewelry ensemble * Cost of a complete jewelry ensemble) = Total money made
(5 * $25.00) + (10 * $15.00) + (20 * $10.00) + (x * $45.00) = $565.00
Let's simplify and solve for x:
$125.00 + $150.00 + $200.00 + $45.00x = $565.00
$475.00 + $45.00x = $565.00
To isolate x, we subtract $475.00 from both sides of the equation:
$475.00 - $475.00 + $45.00x = $565.00 - $475.00
$45.00x = $90.00
To solve for x, we divide both sides of the equation by $45.00:
x = $90.00 / $45.00
x = 2
The value of x is 2.
#### 2
The answer is: 2
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
Nina makes one-of-a-kind jewelry and sells it at a local boutique.  She charges $25.00 for her necklaces, $15.00 for bracelets and $10.00 for a pair of earrings.  Over the weekend, she sold 5 necklaces, 10 bracelets, 20 earrings, and received x orders for a complete jewelry ensemble that Nina charged $45.00 for. She made 565 money over the weekend.

### Answer:
