Cora's Bike Shop charges $16 per hour to rent a bicycle and a helmet. Dave's Bike Shop charges $11 per hour for the bike and a flat fee of $5 for the helmet rental. For what number of hours are the total charges at both bike shops the same?
So what’s the answer??
let the number of hours when the cost is the same by h hours
16h = 11h + 5
solve for h
Its 1h.
To find the number of hours where the total charges at both bike shops are the same, we need to set up an equation. Let's assume that "x" represents the number of hours.
At Cora's Bike Shop, the total charge is $16 per hour for the bike and helmet rental. Therefore, the total charge at Cora's Bike Shop is 16x.
At Dave's Bike Shop, there is a charge of $11 per hour for the bike rental and a flat fee of $5 for the helmet rental. Thus, the total charge at Dave's Bike Shop is 11x + 5.
Setting up the equation to find the number of hours where the total charges are the same:
16x = 11x + 5
To solve for x, we need to isolate the variable x on one side of the equation. Subtracting 11x from both sides:
16x - 11x = 11x - 11x + 5
Simplifying:
5x = 5
Dividing both sides of the equation by 5:
5x/5 = 5/5
x = 1
Therefore, the total charges at both bike shops are the same after 1 hour.