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Question

Difficulty: EasyDecimal Operations and Currency Word Problems

A reservist drives 1515 miles one-way to the armory. Her vehicle consumes 0.40.4 gallons of fuel for this one-way trip. If fuel costs $3.50\$3.50 per gallon, what is the total cost of fuel for the round trip?

  1. A
    $1.40\$1.40
  2. B
    $28.00\$28.00
  3. $2.80\$2.80Answer
  4. D
    $52.50\$52.50

Answer

The total cost of fuel for the round trip is $2.80\$2.80.
The round trip consists of two legs, so the vehicle consumes 0.4×2=0.80.4 \times 2 = 0.8 gallons of fuel in total. Multiplying the total fuel by the price per gallon (0.8×$3.500.8 \times \$3.50) results in a total cost of $2.80\$2.80.

Step-by-Step Solution

1
Determine the total fuel consumed for the round trip.
0.4 gallons×2=0.8 gallons0.4 \text{ gallons} \times 2 = 0.8 \text{ gallons}
The 0.40.4 gallons is for a one-way trip, but the total cost requested is for a round trip.
2
Calculate the total cost of the fuel.
0.8 gallons×$3.50/gallon=$2.800.8 \text{ gallons} \times \$3.50/\text{gallon} = \$2.80
Multiplying the total fuel volume by the price per gallon gives the overall cost.

Key Concept

Multi-step decimal multiplication involving money and adjusting quantities for a round trip.

Alternative Method

Calculate the cost of a one-way trip first by multiplying 0.40.4 gallons by $3.50\$3.50 to get $1.40\$1.40, then double this amount for the round trip to get $2.80\$2.80.
Estimated Time:45s
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Topics

Decimal Operations and Currency Word Problems

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