The cost of bench is 325.
Step-by-step explanation:
Given,
Combined cost of table and bench = 725
Let,
x be the cost of garden table
y be the cost of bench
According to given statement;
x+y=725 Eqn 1
x = y+75 Eqn 2
Putting value of x from Eqn 2 in Eqn 1
[tex](y+75)+y=725\\y+75+y=725\\2y=725-75\\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 equation, substitution method
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