Question

Val rented a bicycle while she was on vacation.She paid a flat rental fee of $55.00,plus $8.50 each day.The total cost $123.Write an equation you can use to find the number of days she rented the bicycle.

Answer 1

Hence the equation is
`55+8.50x=123`.

Val has rented the bicycle for 8 days.

Explanation:

Given,

The total cost for rent a bicycle = $123

Fixed rental fee = $55

Charge of 1 day = $8.50

Solution,

Let the total number of days Val rented the bicycle be 'x'.

The total cost for rent a bicycle is the sum of fixed rental fee and charge of 1 day multiplied with total number of days.

Now framing the above sentence in equation form, we get;

The total cost for rent a bicycle = Fixed rental fee + Charge of 1 day × total number of days

On putting the given values, we get;

`55+8.50* x=123`

So the equation can be written as;

`55+8.50x=123`

Now we solve the expression for calculating total number of days, we get;

`55+8.50x=123\\\\8.50x=123-55\\\\8.50x=68\\\\x=(68)/(8.50)=8`

Hence the equation is
`55+8.50x=123`.

Thus Val has rented the bicycle for 8 days.