Question

The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges

$4500
to rent trucks plus an additional fee of
$150.25
for each ton of sugar. The second company charges
$3696
to rent trucks plus an additional fee of
$200.50
for each ton of sugar.
For what amount of sugar do the two companies charge the same and what is the cost when the two companies charge the same

Answer 1

Both will charge $6,904 when they transport 16 tons of sugar.

Step-by-step explanation:

The amount of sugar to be transported is S, since we need to calculate at which amount of sugar both truck companies charge the same total price, we need to solve the following:

first company charges $4,500 + $150.25 S

second company charges $3,696 + $200.50 S

since both companies will charge the same total amount, then

$4,500 + $150.25 S = $3,696 + $200.50 S

$4,500 - $3,696 = $200.50 S - $150.25 S

$804 = $50.25 S

$804 / $50.25 = S

S = 16

$4,500 + ($150.25 x 16) = $4,500 + $2,404 = $6,904