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:
A) 99 + 4w = 195
B) 99w + 4 = 195
C) 195 + 4w = 99
D) 99 + 195 = 4w
Solution:
A) w = 2.4
B) w = 24
C) w = 20
D) w = -22
Final Answer:
A) Jason will need to collect 20 coins per week to get coins from all the countries.
B) It will take Jason 24 weeks to have coins from all the countries.
C) Jason will need to collect 24 coins per week to get coins from all the countries.
D) It will take Jason 20 weeks to have coins from all the countries.

Answer 1

To determine how many weeks (w) it will take Jason to collect coins from all 195 countries, we should first set up the correct equation.

Jason currently has coins from 99 countries and is adding coins from 4 new countries each week. Therefore, the equation that represents this situation is:

A) 99 + 4w = 195

Now, let's solve for w:

1. Start with the equation: \[ 99 + 4w = 195 \]

2. Subtract 99 from both sides: \[ 4w = 195 - 99 \] \[ 4w = 96 \]

3. Divide both sides by 4: \[ w = \frac{96}{4} \] \[ w = 24 \]

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

Now, let's evaluate the options given:

A) \( w = 2.4 \) - Incorrect
B) \( w = 24 \) - Correct
C) \( w = 20 \) - Incorrect
D) \( w = -22 \) - Incorrect

Final Answer: It will take Jason 24 weeks to have coins from all the countries.