For a ride on a rental scooter, Chris paid a $7 fee to start the scooter plus 7 cents per minute of the ride. The total bill for Chris's ride was $19.67. For howmany minutes did Chris ride the scooter?

Respuesta :

SOLUTION:

Step 1:

We are given that:

For a ride on a rental scooter,

Chris paid a $7 fee to start the scooter plus 7 cents per minute of the ride.

The total bill for Chris's ride was $19.67.

For how many minutes did Chris ride the scooter.

Step 2:

Putting this mathematically, we have that:

[tex]\begin{gathered} Let\text{ x represent the number of minutes, } \\ \text{Then} \\ 7\text{ + }\frac{7}{100}\text{ x = 19.67} \\ \text{Subtract 7 from both sides, we have that:} \\ \frac{7}{100}\text{ x = 19.67 - 7} \\ \frac{7}{100}\text{ x = 12. 67} \\ \end{gathered}[/tex]

cross-multiplying, we have that:

[tex]\begin{gathered} 7\text{ x = 12. 67 ( 100)} \\ 7\text{ x = 1267} \\ \text{Divide both sides by 7, we have that:} \\ x\text{ =}\frac{1267}{7} \\ x\text{ = 181 minutes} \end{gathered}[/tex]

CONCLUSION:

Chris will need 181 minutes to ride the scooter.