Question

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.)
$

Answer 1

(A) 30x+90=300

(B) $7

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

`30x+90=300\\\\ \Rightarrow 30x=300-90 \\\\\Rightarrow 30x=210 \\\\\Rightarrow x=210/30 \\\\\Rightarrow x=7`

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