Step 1: Problem
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 used to write the system.
Step 2: Concept
Form a system of linear equations
Step 3: Method
Let m = number of bracelet
Let n = number of necklace
6 grams of gold in each bracelet and 16 grams of gold in each necklace.
Total weight of gold = 178 grams
6m + 16n = 178 .................................. 1
There are 7 necklaces more than the bracelet
n - m = 7 ..................................... 2
Step 4: Final answer
Let m = number of bracelet
Let n = number of necklace
System of equations
6m + 16n = 178
n - m = 7