1. What percentage of a dollar is the value of each coin combination? a. 4 dimes b. 1 nickel and 3 pennies c. 5 quarters and 1 dime 2. a. List three different combinations of coins... 1. What percentage of a dollar is the value of each coin combination? a. 4 dimes b. 1 nickel and 3 pennies c. 5 quarters and 1 dime 2. a. List three different combinations of coins, each with a value of 30% of a dollar. b. List two different combinations of coins, each with a value of 140% of a dollar. 3. The United States government used to make coins of many different values. For each coin, state its worth as a percentage of $1. 4. Complete the double number line to show percentages of $50. Read more

Steps to Solve

1. Calculate Value of Each Coin Combination

   To find the percentage of a dollar for each coin combination, first determine the value in cents and then convert it to a percentage of one dollar (100 cents).

   a. For 4 dimes:
   Value in cents = $4 \times 10 = 40$ cents
   Percentage = $\frac{40}{100} \times 100% = 40%$

   b. For 1 nickel and 3 pennies:
   Value in cents = $5 + (3 \times 1) = 5 + 3 = 8$ cents
   Percentage = $\frac{8}{100} \times 100% = 8%$

   c. For 5 quarters and 1 dime:
   Value in cents = $5 \times 25 + 10 = 125 + 10 = 135$ cents
   Percentage = $\frac{135}{100} \times 100% = 135%$

2. List Coin Combinations for 30% of a Dollar

   To have a value of 30% of a dollar:
   30% of $1 = 0.3 \times 100 = 30$ cents.
   Possible combinations are:

   • 3 dimes (30 cents)
   • 1 quarter and 1 nickel (25 + 5 cents)
   • 2 dimes and 5 nickels (20 + 5 cents)

3. List Coin Combinations for 140% of a Dollar

   To have a value of 140% of a dollar:
   140% of $1 = 1.4 \times 100 = 140$ cents.
   Possible combinations are:

   • 5 quarters and 1 dime (125 + 10 cents)
   • 2 half dollars and 1 dime (100 + 10 cents)
   • 1 half dollar, 1 quarter, and 5 dimes (50 + 25 + 50 cents)

4. Calculate Percentage Values of U.S. Coins

   For each coin stated:

   • 1/2 cent: 0.5 cents = $\frac{0.5}{100} \times 100% = 0.5%$
   • 3 cents: 3 cents = $\frac{3}{100} \times 100% = 3%$
   • 20 cents: 20 cents = $\frac{20}{100} \times 100% = 20%$
   • $2.50 (2 \frac{1}{2}): 2.5 dollars = $\frac{2.50}{1} \times 100% = 250%$
   • $5: 5 dollars = $\frac{5}{1} \times 100% = 500%$

5. Complete the Percentage Line for $50

   • For 12.50: $12.50 = 25%$ of $50$
   • For 50: $50 = 100%$ of $50$
   • For 62.50: $62.50 = 125%$ of $50$