Answer
48 dimes and 32 nickels adds up to $6.40
Steps Explained:
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
| 0.05d | |
| 0.05 |
| = |
| 2.4 |
| 0.05 |
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 $6.40Related Calculators: Coin Total Word Problems | Coin Combinations | Age Word Problems