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:
| = |
| 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
You have 2 free calculationss remaining
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.
This calculator has 2 inputs.
What 1 formula is used for the Coin Total Word Problems Calculator?
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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