Mr. Patterson takes his class of 30 students roller skating. Each student pays an entrance fee to enter the rink and a $3 fee to rent skates. The total cost for the students to enter
the rink and rent skates is $300.
Part A
Write an equation to represent this situation. (Use x for the variable.)
Part B
What is the roller skating rink's entrance fee? (Hint: Solve for x.)
$

(A) 30x+90=300

(B) $7

Step-by-step explanation:

Let x be the roller skating rink's entrance fee for one student.

So, the entrance fee for 30 students=30x

As each student pays a $3 fee to rent skates

So, the fee for rent paid by 30 students= $3x30=$90

The total cost for the students to enter  the rink and rent skates= 30x+90

As given that total fee to enter  the rink and rent skates is $300.

Therefore, 30x+90=300

(A) The required equation is 30x+90=300.

(B) On solving the equation, we have

Hence, the roller skating rink's entrance fee is $7.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.