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?

What equation can we use to solve?
A. 99w + 4 = 195
B. 195 + 4w = 99
C. 99 + 195 = 4w
D. 99 + 4w = 195

1 answer

To determine how many weeks (w) it will take Jason to have coins from all 195 countries, we start with the information that he already has coins from 99 countries and plans to add 4 new countries each week.

We want to solve for \( w \) when Jason's total number of countries reaches 195:

  1. He currently has 99 coins.
  2. He adds 4 coins each week, which can be expressed as \( 4w \) for \( w \) weeks.

The total number of coins after \( w \) weeks can be expressed as:

\[ 99 + 4w \]

We want this total to equal 195:

\[ 99 + 4w = 195 \]

Thus, the correct equation to use is:

D. \( 99 + 4w = 195 \)

You can solve this equation to find \( w \).