Last year, Conner paid 15% of his earnings in federal taxes. He paid $3000. Jose also paid 15% of his earnings in federal taxes, but he paid $3600. How much more did Jose earn than

Respuesta :

Jose earned $4000 more than Conner

Step-by-step explanation:

For Conner:

Let x be the earnings of Conner

Then

The tax is 15% of x

Tax = $3000

So,

[tex]3000 = 15\%\ of\ x\\\\3000 = 0.15 * x\\\\x = \frac{3000}{0.15}\\\\x = \$20000[/tex]

Conner's earning is $20000

For Jose:

Let y be the earning of Jose

then

The tax is 15% of y

Tax = $3600

So,

[tex]3600 = 15\%\ of\ y\\\\3600 = 0.15 * y\\\\y = \frac{3600}{0.15}\\\\y = \$24000[/tex]

So,

The difference between their earnings:

[tex]= y-x\\= 24000-20000\\= 4000[/tex]

Jose earned $4000 more than Conner

Keywords: Percentage, taxes

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