The cost of bench is $325.
Step-by-step explanation:
Combined cost of garden table and bench = $597
Let,
Cost of garden table = x
Cost of bench = y
According to given statement;
x+y=597 Eqn 1
x = y-53 Eqn 2
Putting value of x from Eqn 2 in Eqn 1
[tex](y-53)+y=597\\y-53+y=597\\2y=597+53\\2y=650[/tex]
Dividing both sides by 2
[tex]\frac{2y}{2}=\frac{650}{2}\\y=325[/tex]
The cost of bench is $325.
Keywords: linear equations, substitution method
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