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=$49.578 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 - this question requires at least 2 answers
8($2.59)+5($5.59)+2x=$49.578 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 - this question requires at least 2 answers
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 - this question requires at least 2 answers
x2+8($2.59)+5($5.59)=$49.57x 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 - this question requires at least 2 answers
Lilly's cost is $25.68 and Samuel's cost is $24.09Lilly's cost is 25 point 6 8 dollars and Samuel's cost is 24 point 0 9 dollars - this question requires at least 2 answers
Lilly's cost is $24.58 and Samuel's cost is $24.99Lilly's cost is 24 point 5 8 dollars and Samuel's cost is 24 point 9 9 dollars - this question requires at least 2 answers
Lilly's cost is $25.93 and Samuel's cost is $26.34Lilly's cost is 25 point 9 3 dollars and Samuel's cost is 26 point 3 4 dollars - this question requires at least 2 answers
This question requires at least 2 answers.
This question requires at least 2 answers.
The equation that could be used to solve for x, the cost of one glue stick, 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 $24.09.
can you show me
To find the equation that could be used to solve for x, we need to calculate the total cost of the supplies for each person and the total cost of the combined purchase.
Lilly selected 5 markers, 2 poster boards, and 1 glue stick. The cost of the markers is 5 * $2.59 = $12.95. The cost of the poster boards is 2 * $5.59 = $11.18. Therefore, the total cost for Lilly's supplies is $12.95 + $11.18 + x.
Samuel selected 3 markers, 3 poster boards, and 1 glue stick. The cost of the markers is 3 * $2.59 = $7.77. The cost of the poster boards is 3 * $5.59 = $16.77. Therefore, the total cost for Samuel's supplies is $7.77 + $16.77 + x.
The combined cost of their purchase is $49.57. So, our equation becomes:
($12.95 + $11.18 + x) + ($7.77 + $16.77 + x) = $49.57.
Simplifying the equation gives us:
$24.1 + 2x = $49.57.
To solve for x, we subtract $24.1 from both sides:
2x = $49.57 - $24.1,
2x = $25.47.
Finally, divide both sides by 2 to solve for x:
x = $25.47 / 2,
x = $12.735.
Therefore, the equation that could be used to solve for the cost of one glue stick is 2x - 8($2.59) + 5($5.59) = $49.57, and based on the supplies they selected, Lilly's cost is $25.68 and Samuel's cost is $24.09.
The equation that could be used to solve for x, the cost of one glue stick, is:
8($2.59) + 5($5.59) - 2x = $49.57
To solve this equation, you need to simplify and isolate x. Distribute the multiplication:
$20.72 + $27.95 - 2x = $49.57
Combine like terms:
$48.67 - 2x = $49.57
To isolate x, subtract $48.67 from both sides:
-2x = $0.90
Divide both sides by -2 to solve for x:
x = -$0.45
However, it doesn't make sense to have a negative cost for a glue stick, so we need to check our work. Let's substitute this value back into the equation:
8($2.59) + 5($5.59) - 2(-$0.45) = $49.57
Simplifying:
$20.72 + $27.95 + $0.90 = $49.57
$49.57 = $49.57
Since the equation holds true, x = $0.45 is the correct cost of one glue stick.
Now, let's calculate how much each person should pay based on the supplies they selected.
Lilly selected 5 markers (5 * $2.59 = $12.95), 2 poster boards (2 * $5.59 = $11.18), and 1 glue stick ($0.45).
Samuel selected 3 markers (3 * $2.59 = $7.77), 3 poster boards (3 * $5.59 = $16.77), and 1 glue stick ($0.45).
Adding up the costs for Lilly and Samuel, we get:
Lilly's cost = $12.95 + $11.18 + $0.45 = $24.58
Samuel's cost = $7.77 + $16.77 + $0.45 = $24.99
Therefore, Lilly should pay $24.58 and Samuel should pay $24.99.