Question

PLEASE HELP TRYING TO MAKE HONOR ROLL

A garden table and a bench cost $1000 combined. The cost of the garden table is three times the cost of the bench. What is the cost of the bench?

Answer 1

Garden Table: $750

Bench: $250

Explanation:

Use the system of equation. Let "garden table" = x, and "bench" = y.

x + y = 1000

x = 3y

Solve for each variable. Note that x = 3y. Plug in 3y for x in the first equation:

x + y = 1000

(3y) + y = 1000

Simplify. Combine like terms:

4y = 1000

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Divide 4 from both sides:

(4y)/4 = (1000)/4

y = 1000/4

y = 250

A bench = $250.

Plug in $250 for y in one of the equations:

x = 3(y)

x = 3(250)

x = 750

A garden table = $750

The cost of the bench is $250.

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