Question

Dan charges a fixed amount per hour. He charges £180 for a job which takes 12 hours. Work how much he will charges for a job which will take 18 hours.

Answer 1

18 hours = £270

Explanation:

Find how much he charges per hour. Divide:

`(180)/(12)=15`

So ha charges about 15 an hour. Multiply this price by the number of hours:

`15*18=270`

Therefore, he will charge £270 for a job that takes 18 hours.

OR

Set a proportional relationship since he charges a fixed amount:

`(price)/(time)=(price)/(time)`

Insert the appropriate corresponding values:

`(180)/(12) =(x)/(18)`

Solve for the price after 18 hours of work, represented by x. Cross multiply:

`12(x)=180(18)\\\\12x=3240`

Solve for x. Use inverse operations to isolate the variable. Divide both sides by 12:

`(12x)/(12) =(3240)/(12) \\\\x=270`

Therefore, after 18 hours, he will charge £270.

:Done

Answer 2

270 pounds

Explanation:

half of 12 is 6, so 18. Then you take half of 180 and add to 180