Final answer:
To solve the math puzzles, convert the percentage to a decimal form and multiply by the dollar amount. This shows that the state income tax on a $42,000 salary at a 6% rate is $2,520, and the 5% sales tax on a $1,500 TV is $75.
Step-by-step explanation:
The student's question revolves around calculating the state income tax and sales tax for specific situations. To solve these, we apply basic principles of percentage calculations.
Example: Calculating State Income Tax
For Puzzle #3, the task is to calculate 6% state income tax on a $42,000 salary. This is done by converting the percentage to a decimal and then multiplying by the salary:
$42,000 × 0.06 = $2,520.
Example: Calculating Sales Tax
In Puzzle #4, we compute the 5% sales tax on a $1,500 TV similar to the previous example:
$1,500 × 0.05 = $75.
Therefore, the answers are $2,520 for the income tax and $75 for the sales tax, which correspond to options A and C from the list provided by the student.