80 coins in your pocket consisting of nickels and dimes with a total value of $6.40
You have 80 coins in your pocket
consisting of nickels and dimes with a total value of $6.40
How many nickels and dimes do you have?
Step 1: Setup Coin Value and Coin Total Equation:
Coin Value Equation
0.05n + 0.1d = $6.40
where n = nickels and d = dimes
Coin Total Equation → n + d = 80
Step 2: Rearrange Coin Total Equation in terms of nickels (n)
n = 80 - d ← Revised Coin Total Equation
Step 3: Plug in our Revised Coin Total Equation for n into our Coin Value Equation:
0.05(80 - d) + 0.1d = $6.40
0.05(80) - 0.05(d) + 0.1d = $6.40
4 - 0.05d + 0.1d = $6.40
4 + (0.1 - 0.05)d = $6.40
4 + 0.05d = $6.40
Step 4: Subtract 4 from each side of the equation to isolate d
4 - 4 + 0.05d = $6.40 - 4
0.05d = 2.4
Step 5: Divide each side of the equation by 0.05 to isolate d
d = 48
Step 6: Using our value for d, Solve for n using our Coin Total Equation:
n + 48 = 80
Subtracting 48 from both sides, we get n + 48 - 48 = 80 - 48
n = 32
Final Answer
48 dimes and 32 nickels adds up to $6.40
What is the Answer?
48 dimes and 32 nickels adds up to $6.40
How does the Coin Word Problems Calculator work?
Free Coin Word Problems Calculator - This word problem lesson solves for a quantity of two coins totaling a certain value
This calculator has 2 inputs.
What 1 formula is used for the Coin Word Problems Calculator?
0.01p + 0.05n + 0.1d + 0.25q + dollars = TotalFor more math formulas, check out our Formula Dossier
What 8 concepts are covered in the Coin Word Problems Calculator?
coinA unit of currencycoin word problemsdimecurrency unit worth 10 centsdollarCurrency unitnickelA currency unit worth 5 centspennyA currency value of one centquarterA currency unit worth 25 centsvalueTags:
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