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Write an equation. Solve for the variable.
1. Ralph and Dave run a law care service. Since Dave owns all the equipment, he is supposed to earn $6 more than twice as much as Ralph each month. If Dave earned $906 in May, how much did Ralph earn?

Answer :

Ben

[tex]\huge\boxed{906=2r+6\text{; \$}450}[/tex]

Write this out as an equation first, where [tex]r[/tex] represents Ralph's earnings and [tex]d[/tex] represents Dave's earnings.

[tex]d=2r+6[/tex]

Substitute in the known value.

[tex]\boxed{906=2r+6}[/tex]

Subtract [tex]6[/tex] from both sides.

[tex]900=2r[/tex]

Divide both sides by [tex]2[/tex].

[tex]\boxed{450}=r[/tex]

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