A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 5 grams and the amount of gold in each necklace is 22 grams. The jeweler made a total of 17 bracelets and necklaces using 238 grams of gold. Write a system of equations that could be used to determine the number of bracelets made and the number of necklaces made. Define the variables that you use to write the system.
b+n = 17
5b+22n = 238
Let's define the variables:
Let x = number of bracelets made
Let y = number of necklaces made
Now let's set up the system of equations:
Equation 1: The total number of bracelets and necklaces made is 17.
x + y = 17
Equation 2: The total amount of gold used in the bracelets and necklaces is 238 grams.
5x + 22y = 238
So the system of equations is:
x + y = 17
5x + 22y = 238
Let's define the variables:
Let's use "x" to represent the number of bracelets made.
Let's use "y" to represent the number of necklaces made.
Now, let's set up the system of equations:
Equation 1: The total number of items made is 17.
x + y = 17
Equation 2: The total amount of gold used is 238 grams.
5x + 22y = 238
Therefore, the system of equations that could be used to determine the number of bracelets made and the number of necklaces made is:
x + y = 17
5x + 22y = 238