SOLUTION: Question: How many coins are there of each type? What I know: They are only pennies and quarters. The coins are worth $62.00. There are 1,400 coins in all.

Question 957719: Question: How many coins are there of each type?
What I know:
They are only pennies and quarters.
The coins are worth $62.00.
There are 1,400 coins in all.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
P=pennies; Q=quarters
P+Q=1400
P=1400-Q
$0.01P+$0.25Q=$62.00 Substitute for P.
$0.01(1400-Q)+$0.25Q=$62.00
$14.00-$0.01Q+$0.25Q=$62.00 Subtract $14.00 from each side.
$0.24Q=$48.00 Divide each side by $0.24.
Q=200 ANSWER 1: There are 200 quarters.
P=1400-Q=1400-200=1200 ANSWER 2: There are 1200 pennies.
CHECK:
$0.01P+$0.25Q=$62.00
$0.01(1200)+$0.25(200)=$62.00
$12.00+$50.00=$62.00
$62.00=$62.00
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