QuestionOwen and Jamie spent the same amount. Owen spent \$13 on food and 6 games, Jamie \$8.50 on food and 9 games. Find game price.

Studdy Solution

STEP 1

Assumptions1. Owen and Jamie spent the same total amount of money. . Owen spent $13 on food and played6 carnival games.<br />3. Jamie spent$ 8.50 on food and played9 carnival games.
4. All carnival games cost the same.

STEP 2

Let's denote the price of each carnival game as $x$ .Since Owen and Jamie spent the same total amount of money, we can set up the following equation $13 +6x =8.50 +9x$

STEP 3

We can simplify this equation by subtracting $6x$ from both sides to isolate the variable $x$ on one side of the equation.
$13 -8.50 =9x -6x$

STEP 4

Calculate the left side of the equation.
$13 -8.50 =4.50$ So the equation becomes $4.50 =9x -6x$

STEP 5

implify the right side of the equation.
$4.50 =3x$

STEP 6

Now, we can solve for $x$ by dividing both sides of the equation by3.
$x =4.50 /3$

STEP 7

Calculate the value of $x$ .
$x =4.50 /3 =1.50$ The price of each carnival game was $1.50.

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QuestionOwen and Jamie spent the same amount. Owen spent \$13 on food and 6 games, Jamie \$8.50 on food and 9 games. Find game price.

Studdy Solution

STEP 1

Assumptions1. Owen and Jamie spent the same total amount of money. . Owen spent $13 on food and played6 carnival games.<br />3. Jamie spent$ 8.50 on food and played9 carnival games.
4. All carnival games cost the same.

STEP 2

Let's denote the price of each carnival game as $x$ .Since Owen and Jamie spent the same total amount of money, we can set up the following equation $13 +6x =8.50 +9x$

STEP 3

We can simplify this equation by subtracting $6x$ from both sides to isolate the variable $x$ on one side of the equation.
$13 -8.50 =9x -6x$

STEP 4

Calculate the left side of the equation.
$13 -8.50 =4.50$ So the equation becomes $4.50 =9x -6x$

STEP 5

implify the right side of the equation.
$4.50 =3x$

STEP 6

Now, we can solve for $x$ by dividing both sides of the equation by3.
$x =4.50 /3$

STEP 7

Calculate the value of $x$ .
$x =4.50 /3 =1.50$ The price of each carnival game was $1.50.

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QuestionOwen and Jamie spent the same amount. Owen spent \$13 on food and 6 games, Jamie \$8.50 on food and 9 games. Find game price.

Studdy Solution

STEP 1

STEP 2

Let's denote the price of each carnival game as xxx.Since Owen and Jamie spent the same total amount of money, we can set up the following equation13+6x=8.50+9x13 +6x =8.50 +9x13+6x=8.50+9x

STEP 3

We can simplify this equation by subtracting 6x6x6x from both sides to isolate the variable xxx on one side of the equation.13−8.50=9x−6x13 -8.50 =9x -6x13−8.50=9x−6x

STEP 4

Calculate the left side of the equation.13−8.50=4.5013 -8.50 =4.5013−8.50=4.50So the equation becomes4.50=9x−6x4.50 =9x -6x4.50=9x−6x

STEP 5

implify the right side of the equation.4.50=3x4.50 =3x4.50=3x

STEP 6

Now, we can solve for xxx by dividing both sides of the equation by3.x=4.50/3x =4.50 /3x=4.50/3

STEP 7

Calculate the value of xxx.x=4.50/3=1.50x =4.50 /3 =1.50x=4.50/3=1.50The price of each carnival game was $1.50.

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Let's denote the price of each carnival game as $x$ .Since Owen and Jamie spent the same total amount of money, we can set up the following equation $13 +6x =8.50 +9x$

We can simplify this equation by subtracting $6x$ from both sides to isolate the variable $x$ on one side of the equation.
$13 -8.50 =9x -6x$

Calculate the left side of the equation.
$13 -8.50 =4.50$ So the equation becomes $4.50 =9x -6x$

implify the right side of the equation.
$4.50 =3x$

Now, we can solve for $x$ by dividing both sides of the equation by3.
$x =4.50 /3$

Calculate the value of $x$ .
$x =4.50 /3 =1.50$ The price of each carnival game was $1.50.