Question

Carlos shovels snow from driveways in his neighborhood. he charges $10 for each regular driveway and he charges an extra $7.50 for each large driveway that he shovels. after a snowstorm he shovels 3 fewer large driveways than regular driveways and makes $140. how many regular driveways did carlos shovel?

Answer 1

Let, the number of regular driveways be x.

Given there are 3 fewer large driveways than regular driveways.

So, the number of large driveways = $(x-3)$

Given, Carlas charges $10 for each regular driveway.

So for x regular driveway the amount will be = $ $(10)(x)$ = $ $(10x)$

And he charges extra $7.50 for each large driveway.

So for each large driveway Carlos charges = $$(10+7.50)$ = $17.50.

For (x-3) large driveways Carlos will charge = $ $(17.50)(x-3)$ = $ $(17.50x - 52.50)$

Given, the total amount he makes = $140

So we can write the equation as,

$10x + 17.50x - 52.50 = 140$

$27.50x + 52.50 = 140$

We will move 52.50 to the right side by adding it to both sides. We will get,

$27.50x - 52.50 + 52.50 = 140 + 52.50$

$27.50x = 192.50$

Now to get x, we will move 27.50 to the right side by dividing it to both sides. We will get,

$\frac{(27.50x)}{27.50} =\frac{192.50}{27.50}$

$x =\frac{192.50}{52.50}$

$x = 7$

So we have got the required answer.

The number of regular driveways Carlos shovel = 7.