The solution is 7/3. Sorry for no work, I can't think of how to explain it.
Answer:
John need to get 293 in his next game to bring his average up to 183.
Step-by-step explanation:
John starts with N games played and averaging 177 points per game.
In game N+1, John scored 199 points.

So, John has now played (N+1) = 22 games.
We need to know what score John needs in game 23 to bring his average to 183.

You can solve this by putting the number of copies in the top part of the fraction. If you replace the one in the top part of 1/6 with 3, you get the fraction 3/6. Half of six is three and half of two is one, so both fractions are equal. You can test this be dividing the 3 in the top by 3 and the 6 in the bottom by three. Your result will be 1/2. Although there are three times ad many copies, each copy is three times as small, so it balances out.
Solve for s.
p=4s
Flip the equation.
4s=p
Divide both sides by 4.
4s/4=p/4
s=1/4p
easy 214.7 because if it was rounded it would be 214.700 an this is way bigger than 214.275