Select the best answer for the question.

A mechanic buys [tex] \$14.56 [/tex] worth of parts from a supplier. If he pays for the parts with a [tex] \$20 [/tex] bill, how much change will he receive?

A. [tex] \$5.56 [/tex]

B. [tex] \$6.44 [/tex]

C. [tex] \[tex]$6.56 [/tex]

D. [tex] \$[/tex]5.44 [/tex]



Answer :

Sure, let's solve the problem step by step:

1. Identify the amounts:
- The cost of the parts: \[tex]$14.56 - The amount paid by the mechanic: \$[/tex]20.00

2. Calculate the change:
- To find out how much change the mechanic will receive, we need to subtract the cost of the parts from the amount paid.
[tex]\[ \text{Change} = \text{Amount Paid} - \text{Cost of Parts} \][/tex]
Substituting the given values:
[tex]\[ \text{Change} = 20.00 - 14.56 \][/tex]
Simplify the calculation:
[tex]\[ \text{Change} = 5.44 \][/tex]

3. Determine the best answer:
Looking at the answer choices:
- A. \[tex]$ 5.56 - B. \$[/tex] 6.44
- C. \[tex]$ 6.56 - D. \$[/tex] 5.44

The calculated change, \[tex]$5.44, matches option D. So, the best answer is: D. \$[/tex] 5.44