Question 1033082: there are pennies, nickels , dimes , and quarters in a piggy bank. if there are 14 coins in the bank and their value is $1.05
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52805)   (Show Source):
You can put this solution on YOUR website! .
there are pennies, nickels , dimes , and quarters in a piggy bank. if there are 14 coins in the bank and their value is $1.05
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Although the condition is discontinued by an obvious way, I can suggest that
1) all necessary data is presented, and
2) the question is "how many coins of each value are there in the bank?"
Answer. 2 quarters, 3 dimes, 4 nickels and 5 pennies.
Check. 2*25 + 3*10 + 4*5 + 5*1 = 105,
2 + 3 + 4 + 5 = 14.
Answer by josgarithmetic(39620)  (Show Source):
You can put this solution on YOUR website! Four unknown variables and two equations. The easiest restriction is on how many quarters, being some natural number from 1 to 4.
p, n, d, q the count of each coin.
 from account of the money value
 the account of the coins
Solve each for p and equate.
CASES FOR THE QUARTERS
q=4
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q=3
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q=2
-
q=1
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Which of these cases will work to give the right whole number values for n and d?
Look at a graph for case q=1. Treat vertical axis as d, horizontal as n,
looks bad!
The graph n and d for case q=2,
guess is that still not good.
See for case q=3,
Maybe....
A different way could be play with the simplest combination of coins to give $1.05 and split some coins to get a count of 14.
 , c for count of coins but we must have c=14. Splitting the nickel might not help much, at least not yet.
Split one quarter.
 ----still not enough coins c.
Split one more quarter.
 ----we want to be able to get an even number of coins.
Maybe split one nickel from that.
 -----we want ONE more coin, so maybe split one dime.
 -----THIS must be the combination.
2 quarters
3 dimes
4 nickels
5 pennies
--That is 14 coins.
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