Examkin

Question

Difficulty: MediumDecimal Operations and Currency Word Problems

A base facility manager is purchasing fuel for a backup generator. He needs 42.542.5 gallons of diesel fuel. The supplier charges $0.90\$0.90 per quart of diesel. He also purchases a maintenance logbook for $14.25\$14.25. Knowing that 11 gallon equals 44 quarts, what is the total cost of the purchase?

  1. A
    $52.50\$52.50
  2. B
    $29.55\$29.55
  3. $167.25\$167.25Answer
  4. D
    $23.81\$23.81

Answer

The total cost of the purchase is $167.25\$167.25.
The correct answer is found by first unifying the units of measurement. Since the price is given per quart, either convert the total volume to quarts (42.5×4=17042.5 \times 4 = 170 quarts) or the price to gallons (0.90×4=$3.600.90 \times 4 = \$3.60 per gallon). Multiplying the volume by the corresponding rate yields a fuel cost of $153.00\$153.00. Adding the cost of the logbook ($14.25\$14.25) results in a final total of $167.25\$167.25.

Step-by-Step Solution

1
Find the equivalent amount of fuel in quarts.
42.5 gallons×4 quarts/gallon=170 quarts42.5 \text{ gallons} \times 4 \text{ quarts/gallon} = 170 \text{ quarts}
To align the quantity of fuel with the given unit price per quart.
2
Calculate the total cost of the diesel fuel.
170 quarts×$0.90/quart=$153.00170 \text{ quarts} \times \$0.90/\text{quart} = \$153.00
To determine the primary expense before adding secondary items.
3
Add the cost of the maintenance logbook to the fuel cost.
$153.00+$14.25=$167.25\$153.00 + \$14.25 = \$167.25
To determine the final total cost of the entire purchase.

Key Concept

Unit conversions and decimal operations in currency problems
Rate this question

Topics

Decimal Operations and Currency Word Problems

More questions from this topic