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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.

1 Answer

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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

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