Question 1041834: Melissa has a piggy bank filled with pennies and quarters, the piggy bank has a total of 300 coins in it and the total value of coins is $45 help Melissa figure out how many pennies and how many quarters are in her piggy bank by answering the following questions
1) let "p" equal the number of pennies and "q" equal the number of quarters. what equation represents the fact that the piggy bank has a total of 300 coins in it?
2) again, let p equal the number of pennies and q equal the number of quarters. What equation represents the fact that the total value of the coins in the piggy bank is $45.
3) solve the equation from question 1. What do you get?
4) use substitution by plugging in the value for question 3 into the equation from question 2. What is the new equation that you get
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Melissa has a piggy bank filled with pennies and quarters, the piggy bank has a total of 300 coins in it and the total value of coins is $45 help Melissa figure out how many pennies and how many quarters are in her piggy bank by answering the following questions
1) let "p" equal the number of pennies and "q" equal the number of quarters. what equation represents the fact that the piggy bank has a total of 300 coins in it?
p + q = 300
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2) again, let p equal the number of pennies and q equal the number of quarters. What equation represents the fact that the total value of the coins in the piggy bank is $45.
p + 25q = 4500
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3) solve the equation from question 1. What do you get?
Subtract and solve for "q"::
24q = 4200
q = 175 (# of quarters)
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4) use substitution by plugging in the value for question 3 into the equation from question 2. What is the new equation that you get
p + 25*175 = 4500
p = 125 (# of pennies)
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Cheers,
Stan H.
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