Answer:
Step-by-step explanation:
The equation for this situation is t + b = 829, where t is the table and b is the bench. But that's too many unknowns for 1 equation. Hence, we use the rest of the given info to write the expression for the table in terms of the bench. If the table is 71 less than the bench, let b = bench then t = b - 71. Now we can fill in the equation with only the unknown of b:
If t + b = 829, then b - 71 + b = 829 and
2b - 71 = 829 and
2b = 900 so
b = 450
That means that the bench costs $450 (the table has to cost $379 then, if it is $71 cheaper than the bench).
Answer: The cost of the garden bench = $450
Step-by-step explanation:
step 1 ; Let the cost of the garden table = $x --------------------------- 1
Therefore the garden bench = $(x + 71) -------------------2
The total cost of the garden table and garden bench = $829
Now add equation 1 & 2 together and equate to $829
$x + $(x + 71) = $829
solve for x
$x + $x + $71 = $829
2$x = $829 - $71
2$x = $758
divide by 2
$x = $379.
so the cost of the garden table = $379
To know the cost of the garden bench, substitute for x in the second equation, $(x + 71)
$(379 + 71)
= $450.
check $379 + $450 = $829.
