You have $4.00 worth of coins consisting of dimes and quarters

You have 5 more dimes than quarters

How many dimes and quarters do you have?

Step 1: Setup Coin Value and Coin Total Equation:

Coin Value Equation → 0.1d + 0.25q = $4.00 where d = dimes and q = quarters

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

Since we have 5 more dimes than quarters, we set up our relational equation as follows:

Coin Total Equation → d = q + 5

d = q + 5  ← Revised Coin Total Equation

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

0.1(q + 5) + 0.25q = $4.00

0.1(5) + 0.1(q) + 0.25q = $4.00

0.5 + 0.1q + 0.25q = $4.00

0.5 + (0.25 + 0.1)q = $4.00

0.5 + 0.35q = $4.00

Step 4: Subtract 0.5 from each side of the equation to isolate q

0.5 - 0.5 + 0.35q = $4.00 - 0.5

0.35q = 3.5

Step 5: Divide each side of the equation by 0.35 to isolate q

0.35q
0.35
=
  
3.5
0.35

Cancel 0.35 on the left side:

0.35q
0.35
=
  
3.5
0.35

q = 10

Step 6: Solve for d using our Coin Total Equation:

d = q + 5

Substitute q = 10

d = 10 + 5

d = 15

Final Answer


10 quarters and 15 dimes adds up to $4.00


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What is the Answer?
10 quarters and 15 dimes adds up to $4.00
How does the Coin Total Word Problems Calculator work?
Free Coin Total Word Problems Calculator - This word problem lesson solves for a quantity of two coins totaling a certain value with a certain amount more or less of one coin than another
This calculator has 2 inputs.
What 1 formula is used for the Coin Total Word Problems Calculator?
0.01p + 0.05n + 0.1d + 0.25q + dollars = Total
What 8 concepts are covered in the Coin Total Word Problems Calculator?
coin
A unit of currency
coin total word problems
dime
currency unit worth 10 cents
dollar
Currency unit
nickel
A currency unit worth 5 cents
penny
A currency value of one cent
quarter
A currency unit worth 25 cents
value
Example calculations for the Coin Total Word Problems Calculator

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