A family room and two bedrooms cost $360 to steam clean the carpets. The amount of labor and the service fee are incorporated into the total cost. Let x represent the labor costs per room and $45 equal the service fee. If it took the carpet cleaners (3) hours to complete the job, how much was the labor?

5 answers

Let's assume the labor cost per room is x.
The total labor cost for steam cleaning two bedrooms would be 2x.
The service fee is $45.
So the total cost for labor and the service fee is 2x + 45.
Since the total cost is $360, we can write the equation:
2x + 45 = 360.
Subtracting 45 from both sides, we get 2x = 315.
Dividing both sides by 2, we find x = 157.5.
Therefore, the labor cost for steam cleaning the carpets was $157.5.
A family room and two bedrooms cost $360 to steam clean the carpets. The amount of labor and the service fee are incorporated into the total cost. Let x represent the labor costs per room and $45 equal the service fee. If it took the carpet cleaners (3) hours to complete the job, how much was the labor?

A $360−45=3x
360 dollars minus 45 is equal to 3 x
B $360+3x=$45
360 dollars plus 3 x is equal to 45 dollars
C $45+3x=$360
45 dollars plus 3 x is equal to 360 dollars
D $360+$45=3x
C. $45 + 3x = $360
2 of 102 of 10 Items
05:03

Question
Lilly and Samuel purchased supplies together for a school project. They need to determine how much each person should pay.

Markers cost $2.59
each
Poster boards cost $5.59
each
Glue sticks cost x
each.
Lilly selects 5 markers and 2 poster boards and a glue stick. Samuel selects 3 markers and 3 poster boards and a glue stick. The total for their combined purchase was $49.57
.

First, select the equation that could be used to solve for x
, the cost of one glue stick. Then, select the amount that each person should pay based on the supplies they selected.

Responses
8($2.59)+5($5.59)−2x=$49.57
8 times open paren 2 point 5 9 dollars close paren plus 5 times open paren 5 point 5 9 dollars close paren minus 2 x is equal to 49 point 5 7 dollars
8($2.59)+5($5.59)+2x=$49.57
8 times open paren 2 point 5 9 dollars close paren plus 5 times open paren 5 point 5 9 dollars close paren plus 2 x is equal to 49 point 5 7 dollars
2x−8($2.59)+5($5.59)=$49.57
2 over x minus 8 times open paren 2 point 5 9 dollars close paren plus 5 times open paren 5 point 5 9 dollars close paren is equal to 49 point 5 7 dollars
x2+8($2.59)+5($5.59)=$49.57
x over 2 plus 8 times open paren 2 point 5 9 dollars close paren plus 5 times open paren 5 point 5 9 dollars close paren is equal to 49 point 5 7 dollars
Lilly's cost is $25.68
and Samuel's cost is $24.09
Lilly's cost is 25 point 6 8 dollars and Samuel's cost is 24 point 0 9 dollars
Lilly's cost is $24.58
and Samuel's cost is $24.99
Lilly's cost is 24 point 5 8 dollars and Samuel's cost is 24 point 9 9 dollars
Lilly's cost is $25.93
and Samuel's cost is $26.34
The correct equation is:

8($2.59) + 5($5.59) + 2x = $49.57

Based on the supplies they selected, Lilly's cost is $25.68 and Samuel's cost is $24.89.