Question

Quinn is playing video games at a virtual reality game room. The game room charges 20 dollars for every 30 minutes of play time. How much does Quinn need to pay for 150 minutes of play time?

Answer 1

Answer:

$100  

Step-by-step explanation:    

Let C be the cost for 150 minutes of play time.

We have been given that Quinn is playing video games at a virtual reality game room. The game room charges 20 dollars for every 30 minutes of play time.

We will use proportions to find the cost for 150 minutes of play time as proportions states that two fractions are similar.  

$\frac{\text{Cost of 30 minutes of play time}}{\text{30 minutes}}=\frac{\text{Cost of 150 minutes of play time}}{\text{150 minutes}}$

Upon substituting the given value we will get,

$\frac{20}{30}=\frac{C}{150}$

Upon cross multiplying our equation we will get,

$30C=150\times 20$

Upon dividing both sides of equation by 30 we will get,

$\frac{30C}{30}=\frac{150\times 20}{30}$

$C=\frac{150\times 20}{30}$

$C=5\times 20$

$C=100$

Therefore, Quinn need $100 to pay for 150 minutes of play time.

Answer 2

To find the answer, we divide 150 by 30, which equals 5. Then because 30 minutes equals 20 dollars, we multiply 20 by five, which gives us 100 dollars.

Hope this helps!