Answered

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Together 2 people earn $28000. One earned $2000 more than the other. How much is the smaller income?

Together 2 People Earn 28000 One Earned 2000 More Than The Other How Much Is The Smaller Income class=

Sagot :

Let x be the smaller income and y be the bigger income.

So, if both earn together $28,000, then:

[tex]x+y=28000[/tex]

If one earns $2000 more than the other, we can say the the bigger minus the smaller is equal to 2000, that is:

[tex]y-x=2000[/tex]

Now, we can solve the second equation for y and input it into the first equation:

[tex]\begin{gathered} y-x=2000 \\ y=x+2000 \end{gathered}[/tex][tex]\begin{gathered} x+y=28000 \\ x+x+2000=28000 \\ 2x=28000-2000 \\ 2x=26000 \\ x=\frac{26000}{2} \\ x=13000 \end{gathered}[/tex]

Thus, the smalle income is $13,000, alternative D.

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