Question

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.

Answer 1

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