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

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
Part A:
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
Part B :
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

Answer 1

Part A:

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

Answer 2

I apologize for the confusion. The correct equation that could be used to solve for x is B. 8($2.59)+5($5.59)+2x=$49.57.

Based on the supplies they selected, Lilly's cost is $24.58 and Samuel's cost is $24.99. Answer: B.

Answer 3

Part A:

The equation that could be used to solve for x, the cost of one glue stick, can be determined by adding up the costs of the items each person purchased and subtracting it from the total combined cost.

Lilly selected 5 markers, which cost $2.59 each, so the cost of the markers for Lilly is 5($2.59) = $12.95.
Lilly also selected 2 poster boards, which cost $5.59 each, so the cost of the poster boards for Lilly is 2($5.59) = $11.18.

Samuel selected 3 markers, which cost $2.59 each, so the cost of the markers for Samuel is 3($2.59) = $7.77.
Samuel also selected 3 poster boards, which cost $5.59 each, so the cost of the poster boards for Samuel is 3($5.59) = $16.77.

The total cost for their combined purchase was $49.57.

Now, let's set up the equation to solve for x:

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

This represents the cost of the items purchased by both Lilly and Samuel minus the cost of the glue sticks (2x).

Part B:
To determine the amount that each person should pay based on the supplies they selected, we need to calculate the individual costs for Lilly and Samuel.

For Lilly:
Lilly's cost = Cost of markers + Cost of poster boards + Cost of glue stick
Lilly's cost = $12.95 + $11.18 + x

For Samuel:
Samuel's cost = Cost of markers + Cost of poster boards + Cost of glue stick
Samuel's cost = $7.77 + $16.77 + x

To find the amount each person should pay, we need to solve the equation in Part A to determine the value of x, and then substitute that value into the respective equations for Lilly and Samuel.

Calculating the equation in Part A will give us the value of x.

Now let's find the correct responses:

Part A:
The equation that could be used to solve for x is:

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

Part B:
To find the amount each person should pay, we need to solve the equation for x and substitute it into the respective equations for Lilly and Samuel.

Calculating the equation in Part A will give us the value of x.

Now let's find the correct responses:

Part B:
The correct response is:
A. Lilly's cost is $25.68 and Samuel's cost is $24.09

Answer 4

The equation that could be used to solve for x, the cost of one glue stick, is A. 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 $24.09. Answer: A.