If you are receiving $57.94 in change, what is the lowest combination of bills and coins that will still give you the correct change?

Question

(1 point)
Responses

2 – $20.00 bills, 1 – $10.00 bill, 1 – $5.00 bill, 2 – $1.00 bills, 3 – quarters, 1 – dime, 1 – nickel, and 4 pennies
2 – $20.00 bills, 1 – $10.00 bill, 1 – $5.00 bill, 2 – $1.00 bills, 3 – quarters, 1 – dime, 1 – nickel, and 4 pennies

1 – $50.00 bill, 1 – $5.00 bill, 2 – $1.00 bills, 3 – quarters, 1 – dime, 1 – nickel, and 4 pennies
1 – $50.00 bill, 1 – $5.00 bill, 2 – $1.00 bills, 3 – quarters, 1 – dime, 1 – nickel, and 4 pennies

2 – $20.00 bills, 3 – $10.00 bills, 1 – $5.00 bill, 2 – $1.00 bills, 3 – quarters, 1 – dime, 1 – nickel, and 4 pennies
2 – $20.00 bills, 3 – $10.00 bills, 1 – $5.00 bill, 2 – $1.00 bills, 3 – quarters, 1 – dime, 1 – nickel, and 4 pennies

5 – $10.00 bills, 1 – $5.00 bill, 2 – $1.00 bills, 3 – quarters, 1 – dime, 1 – nickel, and 4 pennies

Answer 1

To find the lowest combination of bills and coins that sums to $57.94, we want to use as few pieces of currency as possible while reaching the exact amount.

Let's analyze the provided options:

1. Option 1:

   • 2 – $20.00 bills = $40.00
   • 1 – $10.00 bill = $10.00
   • 1 – $5.00 bill = $5.00
   • 2 – $1.00 bills = $2.00
   • 3 – quarters = $0.75
   • 1 – dime = $0.10
   • 1 – nickel = $0.05
   • 4 pennies = $0.04
   • Total = $40 + $10 + $5 + $2 + $0.75 + $0.10 + $0.05 + $0.04 = $57.94

2. Option 2:

   • 1 – $50.00 bill = $50.00
   • 1 – $5.00 bill = $5.00
   • 2 – $1.00 bills = $2.00
   • 3 – quarters = $0.75
   • 1 – dime = $0.10
   • 1 – nickel = $0.05
   • 4 pennies = $0.04
   • Total = $50 + $5 + $2 + $0.75 + $0.10 + $0.05 + $0.04 = $57.94

3. Option 3:

   • 2 – $20.00 bills = $40.00
   • 3 – $10.00 bills = $30.00
   • 1 – $5.00 bill = $5.00
   • 2 – $1.00 bills = $2.00
   • 3 – quarters = $0.75
   • 1 – dime = $0.10
   • 1 – nickel = $0.05
   • 4 pennies = $0.04
   • Total = $40 + $30 + $5 + $2 + $0.75 + $0.10 + $0.05 + $0.04 = $77.94 (not correct)

4. Option 4:

   • 5 – $10.00 bills = $50.00
   • 1 – $5.00 bill = $5.00
   • 2 – $1.00 bills = $2.00
   • 3 – quarters = $0.75
   • 1 – dime = $0.10
   • 1 – nickel = $0.05
   • 4 pennies = $0.04
   • Total = $50 + $5 + $2 + $0.75 + $0.10 + $0.05 + $0.04 = $57.94

Now, comparing valid options:

• Option 1: 10 pieces (2 + 1 + 1 + 2 + 3 + 1 + 1 + 4 = 15)
• Option 2: 9 pieces (1 + 1 + 2 + 3 + 1 + 1 + 4 = 13)
• Option 4: 15 pieces (5 + 1 + 2 + 3 + 1 + 1 + 4 = 17)

Since Option 2 uses the least number of pieces (9), it is the best choice for giving correct change of $57.94.

Final Answer: 1 – $50.00 bill, 1 – $5.00 bill, 2 – $1.00 bills, 3 – quarters, 1 – dime, 1 – nickel, and 4 pennies.