A base carpenter is purchasing premium oak trim priced at \3.20 per linear foot. He needs … — Armed Services Vocational Aptitude Battery (ASVAB)

A base carpenter is purchasing premium oak trim priced at $\$3.20$ per linear foot. He needs to buy $4.5$ feet of trim for one room and $30$ inches of trim for a hallway. If the supplier charges a flat delivery fee of $\$8.75$ , what is the total cost of the purchase?

$\$31.15$ Answer
B
$\$119.15$
C
$\$32.75$
D
$\$10.99$

Answer

The total cost of the purchase is

\$31.15

First, the measurements must be harmonized. Since the price is per foot, convert

30

inches to feet by dividing by

12

, which gives

2.5

feet. Add this to the

4.5

feet required for the other room to get a total of

7.0

feet. Multiply the total length by the unit price (

7.0 \times \$3.20

) to determine the material cost of

\$22.40

. Finally, add the flat delivery fee of

\$8.75

to reach the correct total cost of

\$31.15

Step-by-Step Solution

Convert the hallway trim measurement from inches to feet.

30 \div 12 = 2.5

feet

Measurements must be in the same unit (feet) because the price is given per linear foot.

Calculate the total linear feet of trim needed.

4.5 + 2.5 = 7.0

feet

To find the total material cost, you must combine the lengths needed for both rooms.

Calculate the cost of the wood.

7.0 \times \$3.20 = \$22.40

Multiply the total length by the price per linear foot.

Add the delivery fee to the material cost to find the final total.

\$22.40 + \$8.75 = \$31.15

The flat delivery fee must be included in the total cost of the purchase.

Key Concept

Decimal Operations and Unit Conversions in Cost Calculations

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