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 determine how much each person should pay based on the supplies they selected, we need to calculate the total cost for each person.
Lilly's supplies cost: 5(\$2.59) + 2(\$5.59) + x
Samuel's supplies cost: 3(\$2.59) + 3(\$5.59) + x
We can solve these equations to find the cost of the glue stick x and then calculate the total cost for each person.
Let's solve the equation 8(\$2.59)+5(\$5.59) + 2x = \$49.57 to find the cost of the glue stick.
Step 1: Multiply each term by their respective values:
20.72 + 27.95 + 2x = 49.57
Step 2: Combine like terms:
48.67 + 2x = 49.57
Step 3: Subtract 48.67 from both sides of the equation:
2x = 0.9
Step 4: Divide both sides by 2:
x = 0.45
So, the cost of one glue stick is $0.45.
Now, let's calculate the total cost for each person.
Lilly's supplies cost: 5(\$2.59) + 2(\$5.59) + 0.45
= $12.95 + $11.18 + $0.45
= $24.58
Samuel's supplies cost: 3(\$2.59) + 3(\$5.59) + 0.45
= $7.77 + $16.77 + $0.45
= $24.99
Therefore, Lilly should pay $24.58 and Samuel should pay $24.99 based on the supplies they selected.
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 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.
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
1 answer
1 answer