Answer:
$150
Step-by-step explanation:
A garden table and a bench together will cost $600. The actual values of the garden table and the bend are not given, but we know that the cost of a garden table will cost three times more than the bench.
Let [tex]x[/tex] = the cost of the bench.
Again, since the cost of the garden table is three times the cost of the bench ([tex]x[/tex]), we can represent the garden table as three times [tex]x[/tex] ([tex]3x[/tex]). These two terms will equal $600 when added, so let's formulate an equation:
[tex]3x+x=600[/tex]
Combine like terms:
[tex]4x=600[/tex]
Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]4[/tex]:
[tex]x=150[/tex]
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Check your work by substituting [tex]150[/tex] into the original equation:
[tex]3(150)+(150)=600[/tex]
[tex]450+150=600[/tex]
[tex]600=600[/tex]
Our answer is correct!
