Question

Gavin has 50 tokens and continues to ride the roller coaster three times every hour Gibson has 12 tokens and finds two more tokens on the ground every hour how long until they have the same amount of tokens?

Answer 1

Answer:62

Step-by-step explanation: I just did it and got it right

Answer 2

They have the same amount of tokens after t = 7.6 hours.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Since Gavin initially has 50 token and rides the roller coaster three times per hour, he uses 3 token per hour.

So, a number of token he losses after t hours is 3 token per hour × t hours = 3t.

Thus, the number of tokens left after t hours is T = 50 - 3t

Since Gibson initially has 12 tokens and find two tokens on the ground per hour, he gains 2 tokens per hour.

So, number of token he gains after t hours is 2 token per hour × t hours = 2t.

Thus, the number of tokens he has after t hours is T' = 12 + 2t

To find the time t when they will have the same tokens, T must be equal to T', that is T = T'.

So, 50 - 3t = 12 + 2t

Now collecting like terms, we have

50 - 12 = 3t + 2t

38 = 5t

Then dividing both sides by 5, we have

t = 38/5

t = 7.6 hours

Hence, they have the same amount of tokens after t = 7.6 hours.

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