SOLUTION: A bag contains 42 coins, with a total weight of 246 grams. If the bag contains only gold coins that weigh 8 grams each and silver coins that weigh 5 grams each, how many gold and
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Question 760541: A bag contains 42 coins, with a total weight of 246 grams. If the bag contains only gold coins that weigh 8 grams each and silver coins that weigh 5 grams each, how many gold and how many silver coins are in the bag?
Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!
Let A = number of gold coins
Let b = number os silver coins
Equation 1:
Equation 2:
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Solve equation 1 for one of the variables.
Equation 1:
Now plug (42 - B) into equation 2 for A
Equation 2:
Simplify the equation.
Combine like terms.
Add 3B to both sides
Subtract 246 from both sides.
Divide both sides by 3.
Now solve for A while using B = 30,
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