Jason is collecting coins from different countries around the world. He currently has coins from 99 countries and plans to add 4 new countries to his coin collection each week. At this rate how many weeks (w) will it take Jason to have coins from all 195 countries?

Answer 1

To determine how many weeks it will take Jason to collect coins from all 195 countries, we can start by calculating how many more countries he needs to collect coins from.

Jason currently has coins from 99 countries. The total number of countries is 195, so the number of additional countries he needs to collect is:

\[ 195 - 99 = 96 \text{ countries} \]

Jason plans to add 4 new countries to his collection each week. To find out how many weeks (w) it will take him to collect the remaining 96 countries, we can use the formula:

\[ w = \frac{\text{Number of additional countries}}{\text{Countries added per week}} = \frac{96}{4} \]

Now, calculating the number of weeks:

\[ w = \frac{96}{4} = 24 \text{ weeks} \]

Therefore, it will take Jason 24 weeks to collect coins from all 195 countries.

Answer 2

what did the w equal

Answer 3

The variable \( w \) represents the number of weeks it will take Jason to collect coins from all 195 countries. After performing the calculation, we found that \( w \) equals 24 weeks.

Answer 4

what was the equation we used to find the answer

Answer 5

The equation used to find the number of weeks \( w \) it will take Jason to collect coins from all 195 countries is:

\[ w = \frac{\text{Number of additional countries}}{\text{Countries added per week}} \]

In this specific case, we calculated:

1. Number of additional countries: \[ 195 - 99 = 96 \]

2. Countries added per week: \[ 4 \]

Substituting these values into the equation gives:

\[ w = \frac{96}{4} \]

Finally, calculating this yields:

\[ w = 24 \]

So, the full equation used was:

\[ w = \frac{195 - 99}{4} \]

And the result is \( w = 24 \) weeks.