Question

Tim and Caitlin are preparing to get married. Caitlin has a car payment of $300 per month, which is 10% of her monthly income. After they are married, Caitlin knows that her car payment will only be 6% of their combined monthly income. How much money does Tim make per month? A $2,000 B $4,000 C $5,000 D $3,000

Answer 1

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:

$\frac{10}{100}x=300$

$0.10x=300$

$x=\frac{300}{0.10}$

$x=3000$

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.

$\frac{6}{100}(x+y)=300$

$0.06(3000+y)=300$

$180+0.06y=300$

$180-180+0.06y=300-180$

$0.06y=120$

$y=\frac{120}{0.06}$

$y=2000$

Therefore, Tim's monthly income is $2,000 and option A is the correct choice.