Question

I am having trouble with my last two word problems on a homework assignment. For some reason I just can not get word problems and get frusterated. I hope someone can help.

Alan was able to rent a moving van for $99 with unlimited mileage or $49 plus .80 per mile. What mileage would the unlimited mileage plan save money?


A electrician charges $50 for the first half-hour of work and $30 for additional time. Stoney Point High School budgeted $200 to repair the refrigeration system. What length of service call with the budget not be exceeded?

Thank you for helping me to understand.

Answer 1

$99 OR ($49 + .80x) are the possible equations to use on the first one.

($50 + $30x)is the second equation. $200=($50 + $30x)
$200=$80x
divide both sides by 80.
2.5=x
The length of service can be 2 1/2 hours. Hope this helps!

Answer 2

I think there is some confusion here.

Let H = the total hours
$200 = $50 + (H-1)*$30
Remember that the first hour is included in the $50.
subtract $50 from both sides
$150 = (H-1)*$30
divide both sides by $30
5 = H -1
add 1 to both sides:
H = ??

Answer 3

My error
I just reread that the first 1/2 hour is included. I am quite sure that the it is $30 for each additional 1/2 hour
the equation is:
Let H = the number of HALF HOURS
$200 = $50 + (H-1))$30
similarly
$150 = (H-1)*$30
5 = H=1
adding 1 to each side:
H= 6
This is the number of HALF hours.
So, the total HOURS would be:
6/2 = ?

Answer 4

Correcting typo
The line 5 = H = 1
shoud read:
5 = H - 1