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

x=7

Explanation:

i did the test

Answer 2

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,

`((27.50x))/(27.50) =(192.50)/(27.50)`

`x =(192.50)/(52.50)`

`x = 7`

So we have got the required answer.

The number of regular driveways Carlos shovel = 7.