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?
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.
To find the labor cost per room, we need to first subtract the service fee from the total cost and then divide the result by the number of rooms.
Let's solve it step by step:
1. Subtract the service fee from the total cost:
Total cost - Service fee = Labor cost per room
$360 - $45 = Labor cost per room
Labor cost per room = $315
2. Since we have the labor cost per room, we can calculate the labor cost by multiplying it by the number of rooms. In this case, we have two bedrooms. So:
Labor cost = Labor cost per room * Number of rooms
Labor cost = $315 * 2
Labor cost = $630
Therefore, the labor cost was $630.