Lilly and Samuel purchase 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.
The equation that could be used to solve for x, the cost of one glue stick, is:
5(2.59) + 2(5.59) + x + 3(2.59) + 3(5.59) + x = 49.57
To solve for x, we can combine like terms and solve the equation:
12.95 + 11.18 + 6x = 49.57
17.13 + 6x = 49.57
6x = 32.44
x = 5.41
So the cost of one glue stick is $5.41.
To determine how much each person should pay, we can add up the costs for the supplies they selected:
Lilly:
5(2.59) + 2(5.59) + 5.41 = $26.25
Samuel:
3(2.59) + 3(5.59) + 5.41 = $23.32
Therefore, Lilly should pay $26.25 and Samuel should pay $23.32.
8($2.59)+5($5.59)-2x=$49.57
8($2.59)+5($5.59) + 2x=$49.57
2/x-8($2.59)+5($5.59)=$49.57
x/2+8($2.59)+5($5.59)=$49.57
Lilly's cost is $25.68 and Samuel's cost is $24.09
Lilly's cost is $24.58 and Samuel's cost is $24.99
Lilly's cost is $25.93 and Samuel's is $26.34
The correct equation to solve for x is:
8(2.59) + 5(5.59) + 2x = 49.57
Simplifying the equation:
20.72 + 27.95 + 2x = 49.57
48.67 + 2x = 49.57
2x = 0.90
x = 0.45
Therefore, the cost of one glue stick is $0.45.
To determine how much each person should pay, we can add up the costs for the supplies they selected:
Lilly: 8(2.59) + 5(5.59) + 0.45 = $45.18
Samuel: 8(2.59) + 5(5.59) + 0.45 = $45.18
Therefore, both Lilly and Samuel should each pay $45.18.
Which other answer
Sorry for the confusion earlier. The correct equation to solve for x is:
8(2.59) + 5(5.59) - 2x = $49.57
Simplifying the equation:
20.72 + 27.95 - 2x = $49.57
48.67 - 2x = $49.57
-2x = 0.90
x = -0.45
However, the cost of a glue stick cannot be negative. Therefore, there seems to be an error in the equation. Could you please double-check the given equation or provide more information so that I can assist you further?
To determine how much each person should pay, we'll first need to set up an equation to solve for the cost of one glue stick (x). Let's break down the costs of the supplies for Lilly and Samuel:
Lilly:
Cost of 5 markers = 5 * $2.59 = $12.95
Cost of 2 poster boards = 2 * $5.59 = $11.18
Cost of 1 glue stick = x
Samuel:
Cost of 3 markers = 3 * $2.59 = $7.77
Cost of 3 poster boards = 3 * $5.59 = $16.77
Cost of 1 glue stick = x
Total cost of supplies = $49.57
Now, we can set up the equation:
Lilly's cost + Samuel's cost = Total cost
($12.95 + $11.18 + x) + ($7.77 + $16.77 + x) = $49.57
Simplifying the equation, we get:
2x + $49.67 = $49.57
Now, let's solve for x:
2x = $49.57 - $49.67
2x = -$0.10
x = -$0.10 / 2
x = -$0.05
We found that the cost of one glue stick is -$0.05. However, it doesn't make sense for a cost to be negative. Therefore, we have made a mistake in our calculations or the given information.
Since we cannot determine the cost of one glue stick accurately based on the given information, we are unable to calculate the amount each person should pay.