Coin Word Problems Calculator

You have 55 coins in your pocket

consisting of dimes and quarters with a total value of $8.50

How many dimes and quarters do you have?

Step 1: Setup Coin Value and Coin Total Equation:

Coin Value Equation

0.1d + 0.25q = $8.50

where d = dimes and q = quarters

Coin Total Equation → d + q = 55

Step 2: Rearrange Coin Total Equation in terms of dimes (d)

d = 55 - q  ← Revised Coin Total Equation

Step 3: Plug in our Revised Coin Total Equation for d into our Coin Value Equation:

0.1(55 - q) + 0.25q = $8.50

0.1(55) - 0.1(q) + 0.25q = $8.50

5.5 - 0.1q + 0.25q = $8.50

5.5 + (0.25 - 0.1)q = $8.50

5.5 + 0.15q = $8.50

Step 4: Subtract 5.5 from each side of the equation to isolate q

5.5 - 5.5 + 0.15q = $8.50 - 5.5

0.15q = 3

Step 5: Divide each side of the equation by 0.15 to isolate q

q = 20

Step 6: Using our value for q, Solve for d using our Coin Total Equation:

d + 20 = 55

Subtracting 20 from both sides, we get d + 20 - 20 = 55 - 20

d = 35

Final Answer

20 quarters and 35 dimes adds up to $8.50

You have 1 free calculations remaining

What is the Answer?

20 quarters and 35 dimes adds up to $8.50

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?

For more math formulas, check out our Formula Dossier

What 8 concepts are covered in the Coin Word Problems Calculator?

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