If a boat rental company charges 100.00 a day plus .50 per kilometer and another company charges 90.00 a day plus .60 per kilometer, at how many miles would the bill at both companies be the same?
cost is the same when
100.00 + .50x = 90.00 + .60x
now just solve for x
then, unless there's a typo, convert km to miles!
To find the number of miles at which the bills from both companies would be the same, we need to set up an equation based on the given information and solve for it.
Let's assume the number of miles is represented by 'x'.
For the first company, the total cost is given by:
Cost1 = 100 (daily charge) + 0.50 (cost per kilometer) * x (number of miles)
For the second company, the total cost is given by:
Cost2 = 90 (daily charge) + 0.60 (cost per kilometer) * x (number of miles)
We want to find the value of 'x' where the cost from both companies is the same. So we can set up the equation:
Cost1 = Cost2
100 + 0.50x = 90 + 0.60x
Now, let's solve this equation for 'x':
100 - 90 = 0.60x - 0.50x
10 = 0.10x
10 รท 0.10 = x
x = 100
Therefore, the bills from both companies would be the same at 100 miles.