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?

Question

Equation:

Solution:

Final Answer:

Answer 1

To find out how many weeks it will take Jason to collect coins from all 195 countries, we can set up the following equation.

1. Current number of countries: 99
2. Target number of countries: 195
3. Number of new countries added per week: 4

First, we find out how many more countries Jason needs to collect coins from:

\[ \text{Countries needed} = \text{Target} - \text{Current} = 195 - 99 = 96 \]

Next, we can set up the equation for the number of weeks \( w \) it will take to collect these additional countries at the rate of 4 per week:

\[ 4w = 96 \]

Now, solve for \( w \):

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

Equation:

\[ 4w = 96 \]

Solution:

\[ w = 24 \]

Final Answer:

It will take Jason \( 24 \) weeks to have coins from all 195 countries.

Answer 2

for equation the answers are

99 + 195 = 4w

99 + 4w = 195

195 + 4w = 99

99w + 4 = 195

Answer 3

Let's clarify and correctly express the equation based on Jason's coin collection situation.

The starting point is:

• Current number of coins: 99 (from different countries)
• Target number of coins: 195 (all countries)
• Rate of adding new coins: 4 new coins per week

To express the total number of countries Jason will have after \( w \) weeks, we can write the equation as:

\[ 99 + 4w = 195 \]

This means that after \( w \) weeks of adding 4 new countries per week, the total number of countries will be equal to 195.

Solution Steps

1. Use the equation \( 99 + 4w = 195 \).

2. Subtract 99 from both sides:

   \[ 4w = 195 - 99 \]

   \[ 4w = 96 \]

3. Divide both sides by 4:

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

Final Answer

The correct equation is:

\[ 99 + 4w = 195 \]

It will take Jason \( 24 \) weeks to have coins from all 195 countries.

Incorrect Equations

The equations you provided are incorrect:

• \( 99 + 195 = 4w \) (This does not relate to the given problem at all.)
• \( 195 + 4w = 99 \) (This implies he would end up with fewer countries, which is impossible in this context.)
• \( 99w + 4 = 195 \) (This form is also incorrect since it doesn't follow the linear relationship set by the problem.)

Thus, the correct equation remains \( 99 + 4w = 195 \).