USMC PiCAT Practice Test

Question: 1 / 400

If two people earn a combined total of $28,000, and one earns $2,000 more than the other, what is the amount of the smaller income?

$14,000

$12,000

$13,000

To solve the problem of determining the smaller income, we can set up a simple equation based on the information given. Let’s denote the smaller income as \( x \). The other person, who earns $2,000 more than the smaller income, can then be represented as \( x + 2,000 \).

According to the problem, their combined total income is $28,000. This gives us the equation:

\[

x + (x + 2,000) = 28,000

\]

Simplifying this, we combine like terms:

\[

2x + 2,000 = 28,000

\]

Next, we subtract $2,000 from both sides:

\[

2x = 26,000

\]

Now, we divide both sides by 2 to isolate \( x \):

\[

x = 13,000

\]

Thus, the smaller income is $13,000. This solution not only provides the correct answer but also reflects how the income relationships and total earnings can be articulated with basic algebra. By precisely forming equations based on the relationships described in the problem, we reach a clear and succinct solution.

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$15,000

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