Answer:
A. $2,000
Step-by-step explanation:
Let x represent Caitlin's monthly income and y represent Tim's monthly income.
We have been given that Caitlin has a car payment of $300 per month, which is 10% of her monthly income.
We can represent this information in an equation as:
[tex]\frac{10}{100}x=300[/tex]
[tex]0.10x=300[/tex]
[tex]x=\frac{300}{0.10}[/tex]
[tex]x=3000[/tex]
Therefore, Caitlin's monthly income would be $3000.
We are also told that after Caitlin is married to Tim, her car payment will only be 6% of their combined monthly income.
This means that 6% of x plus y is equal to 300.
[tex]\frac{6}{100}(x+y)=300[/tex]
[tex]0.06(3000+y)=300[/tex]
[tex]180+0.06y=300[/tex]
[tex]180-180+0.06y=300-180[/tex]
[tex]0.06y=120[/tex]
[tex]y=\frac{120}{0.06}[/tex]
[tex]y=2000[/tex]
Therefore, Tim's monthly income is $2,000 and option A is the correct choice.
