Math / Algebra

QuestionPresentation Sessio... GameZERG - Free 0. My IXL Learning Assessment Analytics Eighth grade，14.10 Solve one-step and two-step equations: word problems HCP You have prizes to reveall Go to Video ( 1 Questions answered
Jake and his friends went to the Dye Storm paint-tag course to celebrate the end of the 6 school semester. The course charges $\$ 36$ for an hour of group tag plus a rental fee for each paint marker. Jake's group played for one hour, rented 5 paint markers, and paid a total of $\$ 86$ . How much did it cost to rent each paint marker? Time elapsed 00 16 24 HR MIN Sec \\square$ Submit SmartScore out of 1000 53

Studdy Solution

STEP 1

1. The total cost for Jake's group is \$86.
2. The cost for one hour of group tag is \$36.
3. There is a rental fee for each paint marker.
4. Jake's group rented 5 paint markers.
5. We need to find the cost of renting each paint marker.

STEP 2

1. Define a variable for the unknown cost.
2. Write an equation that models the total cost.
3. Solve the equation for the unknown variable.

STEP 3

Define a variable for the unknown cost. Let $x$ be the cost to rent each paint marker.

STEP 4

Write an equation that models the total cost. The total cost is the sum of the cost for one hour of group tag and the cost of renting 5 paint markers.
$36 + 5x = 86$

STEP 5

Solve the equation for the unknown variable. Start by isolating the term with the variable.
Subtract 36 from both sides:
$5x = 86 - 36$ $5x = 50$

STEP 6

Now, divide both sides by 5 to solve for $x$ :
$x = \frac{50}{5}$ $x = 10$
The cost to rent each paint marker is:
$\boxed{10}$

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Studdy Solution

STEP 1

1. The total cost for Jake's group is \$86.
2. The cost for one hour of group tag is \$36.
3. There is a rental fee for each paint marker.
4. Jake's group rented 5 paint markers.
5. We need to find the cost of renting each paint marker.

STEP 2

1. Define a variable for the unknown cost.
2. Write an equation that models the total cost.
3. Solve the equation for the unknown variable.

STEP 3

Define a variable for the unknown cost. Let $x$ be the cost to rent each paint marker.

STEP 4

Write an equation that models the total cost. The total cost is the sum of the cost for one hour of group tag and the cost of renting 5 paint markers.
$36 + 5x = 86$

STEP 5

Solve the equation for the unknown variable. Start by isolating the term with the variable.
Subtract 36 from both sides:
$5x = 86 - 36$ $5x = 50$

STEP 6

Now, divide both sides by 5 to solve for $x$ :
$x = \frac{50}{5}$ $x = 10$
The cost to rent each paint marker is:
$\boxed{10}$

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Studdy Solution

STEP 1

1. The total cost for Jake's group is \$86.2. The cost for one hour of group tag is \$36.3. There is a rental fee for each paint marker.4. Jake's group rented 5 paint markers.5. We need to find the cost of renting each paint marker.

STEP 2

1. Define a variable for the unknown cost.2. Write an equation that models the total cost.3. Solve the equation for the unknown variable.

STEP 3

Define a variable for the unknown cost. Let x x x be the cost to rent each paint marker.

STEP 4

Write an equation that models the total cost. The total cost is the sum of the cost for one hour of group tag and the cost of renting 5 paint markers.36+5x=86 36 + 5x = 86 36+5x=86

STEP 5

Solve the equation for the unknown variable. Start by isolating the term with the variable.Subtract 36 from both sides:5x=86−36 5x = 86 - 36 5x=86−36 5x=50 5x = 50 5x=50

STEP 6

Now, divide both sides by 5 to solve for x x x:x=505 x = \frac{50}{5} x=550​ x=10 x = 10 x=10The cost to rent each paint marker is:10 \boxed{10} 10​

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

1. The total cost for Jake's group is \$86.
2. The cost for one hour of group tag is \$36.
3. There is a rental fee for each paint marker.
4. Jake's group rented 5 paint markers.
5. We need to find the cost of renting each paint marker.

1. Define a variable for the unknown cost.
2. Write an equation that models the total cost.
3. Solve the equation for the unknown variable.

Define a variable for the unknown cost. Let $x$ be the cost to rent each paint marker.

Write an equation that models the total cost. The total cost is the sum of the cost for one hour of group tag and the cost of renting 5 paint markers.
$36 + 5x = 86$

Solve the equation for the unknown variable. Start by isolating the term with the variable.
Subtract 36 from both sides:
$5x = 86 - 36$ $5x = 50$

Now, divide both sides by 5 to solve for $x$ :
$x = \frac{50}{5}$ $x = 10$
The cost to rent each paint marker is:
$\boxed{10}$