80 coins in your pocket consisting of nickels and dimes with a total value of $6.40

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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

You have 2 free calculationss remaining

Tags:

• coin word problems
• coin
• dime
• dollar
• nickel
• penny
• quarter
• value