Question

T = 320.00 + 0.40b

s = 250.00 +0.50b
In the equations above, t and s represent the total prices
charged, in dollars, by Terrance and Sylvester as part of
their respective moving services based on packing and
moving b boxes. What was the total price for the service
when Terrance's price was equivalent to Sylvester's price?
A)
B)
C)
$280
$530
$600
$700
D

Answer 1

c) The total price for the service when Terrance's price was equivalent to Sylvester's price is $600.

Explanation:

Here, t = 320.00 + 0.40 b

and t = The total prices charged by Terrance for packing and moving b boxes.

s = 250.00 +0.50 b

and s = The total prices charged by Sylvester for packing and moving b boxes.

Now, to find the number of boxes, when both the prices are equal.

⇒320.00 + 0.40 b = 250.00 +0.50 b

or, 320 - 250 = 0.50 b - 0.40 b

or, 0.10 b = 70

or, b= 70/0.10 = 700

Hence, for packing and moving b = 700 boxes, both companies charge the same amount.

Now, the price charged = 320 + 0.4 (b)

= 320 + 0.4(70) = 320 + 280

= 600

or, the total price for the service when Terrance's price was equivalent to Sylvester's price is $600.