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.