George has to pay $30 in taxes for every $100 that he earns. Last summer, he earned $3680. How much did he pay in taxes?(must use direct proportion) pleaseee help

Respuesta :

Answer:

$1,140

Step-by-step explanation:

Step 1: Set up a fraction and solve (We are doing this to make it simpler to solve. So let us use "x" to represent how much he paid in taxes. )

[tex]\frac{30}{100}=\frac{x}{3680}[/tex]

Step 2: Solve; Divide the given values (The given values are 100 over 30. We are doing this because we need to know the difference between those two figures.) (Trick: For this case, all you need to do is cancel both zeros and the answer is 0.3 once divided)

[tex]\frac{30}{100}[/tex]

Cancel both zeros

[tex]\frac{30}{100}\\\\= \frac{3}{10}[/tex]

Divide

[tex]\frac{3}{10}\\\\= 3 \div 10\\\\= 0.3[/tex]

Step 3: Multiply the result to the last value (Since we've found the difference between them by division, we will have to do the opposite operation in order to find the answer.)

[tex]0.3\\\\0.3 \times 3680\\\\=1140[/tex]

Therefore, George paid 1140 dollars in taxes last summer.