AbigaleL403136 AbigaleL403136
  • 03-11-2022
  • Mathematics
contestada

A garden table and a bench cost $669 combined. The garden table costs $81 less than the bench. What is the cost of the bench?

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TrejureF638740 TrejureF638740
  • 03-11-2022

Given:

The cost of garden table and bench is, 669.

The garden table costs 81 less than bench.

Let us take x as the cost of the bench and y as the cost of the table. Then we have,

[tex]\begin{gathered} x+y=669\ldots\text{.}.(1) \\ y=x-81\ldots.(2) \end{gathered}[/tex]

Now, substituting the value of y in equation 1, we get,

[tex]\begin{gathered} x+x-81=669 \\ 2x=669+81 \\ 2x=750 \\ x=\frac{750}{2}=375 \end{gathered}[/tex]

Thus, the cost of bench is 375.

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