Amari went to the mall and spent $47
. He bought one shirt for $26
and he bought 3 pairs of socks. Each pair of socks cost the same amount of money.
Let's represent the cost of each pair of socks with the variable x.
So, the total cost of the socks is 3x.
Amari spent a total of $47, so we can create the equation:
26 + 3x = 47
To solve for x, we subtract 26 from both sides:
3x = 21
Then divide both sides by 3:
x = 7
Therefore, each pair of socks cost $7.
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 denote the cost of labor per room as x. Since there are three rooms (a family room and two bedrooms), the total labor cost would be 3 times x.
Therefore, the total cost of labor would be 3x.
We are given that the service fee is $45.
The total cost to steam clean the carpets is $360.
Let's set up the equation using the given information:
3x + 45 = 360
To solve for x, we subtract 45 from both sides:
3x = 360 - 45
3x = 315
Then, divide both sides by 3:
x = 315 / 3
x = 105
Therefore, the labor costs per room is $105.
Since it took the carpet cleaners 3 hours to complete the job, the total labor cost would be:
3x = 3 * 105 = $315.
Therefore, the labor cost for the job was $315.
what would the equation be?
To represent the given information mathematically, we can create the equation:
3x + 45 = 360
In this equation, x represents the labor costs per room, and the term 3x represents the total labor costs for the three rooms. The term 45 represents the service fee. The sum of the labor costs and the service fee should equal the total cost of $360 to steam clean the carpets.
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
.
Let's denote the cost of a glue stick as x.
The cost of 5 markers would be 5 * $2.59 = $12.95.
The cost of 2 poster boards would be 2 * $5.59 = $11.18.
Therefore, the total cost of Lilly's items would be $12.95 + $11.18 + x.
The cost of 3 markers would be 3 * $2.59 = $7.77.
The cost of 3 poster boards would be 3 * $5.59 = $16.77.
Therefore, the total cost of Samuel's items would be $7.77 + $16.77 + x.
The total cost for their combined purchase was $49.57.
So, we can create the equation:
($12.95 + $11.18 + x) + ($7.77 + $16.77 + x) = $49.57
Simplifying the equation, we get:
$24.13 + 2x = $49.57
To solve for x, we subtract $24.13 from both sides:
2x = $49.57 - $24.13
2x = $25.44
Then, divide both sides by 2:
x = $25.44 / 2
x = $12.72
Therefore, the cost of a glue stick is $12.72.
To determine how much each person should pay, we need to calculate the total cost for each person's items.
Lilly would pay for 5 markers, 2 poster boards, and 1 glue stick, which totals to $12.95 + $11.18 + $12.72 = $36.85.
Samuel would pay for 3 markers, 3 poster boards, and 1 glue stick, which totals to $7.77 + $16.77 + $12.72 = $37.26.
Therefore, Lilly should pay $36.85 and Samuel should pay $37.26.
nothing here is correct
Apologies for the mistakes. Let's correct the solution:
Let's denote the cost of a glue stick as x.
Lilly selects 5 markers, 2 poster boards, and 1 glue stick. The cost of 5 markers would be 5 * $2.59 = $12.95. The cost of 2 poster boards would be 2 * $5.59 = $11.18. Therefore, the total cost of Lilly's items would be $12.95 + $11.18 + x.
Samuel selects 3 markers, 3 poster boards, and 1 glue stick. The cost of 3 markers would be 3 * $2.59 = $7.77. The cost of 3 poster boards would be 3 * $5.59 = $16.77. Therefore, the total cost of Samuel's items would be $7.77 + $16.77 + x.
The total cost for their combined purchase was $49.57.
So, we can create the equation:
($12.95 + $11.18 + x) + ($7.77 + $16.77 + x) = $49.57
Simplifying the equation, we get:
$24.13 + 2x = $49.57
To solve for x, we subtract $24.13 from both sides:
2x = $49.57 - $24.13
2x = $25.44
Then, divide both sides by 2:
x = $25.44 / 2
x = $12.72
Therefore, the cost of a glue stick is $12.72.
To determine how much each person should pay, we need to calculate the total cost for each person's items.
Lilly would pay for 5 markers, 2 poster boards, and 1 glue stick, which totals to $12.95 + $11.18 + $12.72 = $36.85.
Samuel would pay for 3 markers, 3 poster boards, and 1 glue stick, which totals to $7.77 + $16.77 + $12.72 = $37.26.
Therefore, Lilly should pay $36.85 and Samuel should pay $37.26.
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.
multi choice
Responses
A.8($2.59)+5($5.59)−2x=$49.57
B.8($2.59)+5($5.59)+2x=$49.57
C.2x−8($2.59)+5($5.59)=$49.57
D.x2+8($2.59)+5($5.59)=$49.57
A,Lilly's cost is $25.68 and Samuel's cost is $24.09
B.Lilly's cost is $24.58 and Samuel's cost is $24.99
C.Lilly's cost is $25.93 and Samuel's cost is $26.34