Question 296
First, we'll put down what we already know:

{{{Y = 35}}}
{{{D = R/2}}}
{{{T = R/3}}}
{{{Y - R = T - D}}}

Since we know Y already, and we can express both D and T in terms of R, lets rewrite the final equation above as:

{{{35 - R = R/3 - R/2}}}

Now we have an equation completely in terms of R, so we can work out R. Multiplying by 6 to eliminate fractions (makes it nicer to work with) gives us:

{{{210 - 6R = 2R - 3R}}}

Rearranging to get all the R's on one side makes it:

{{{210 = 5R}}}

Divide by 5:

{{{R = 42}}}

Since D = R/2, and R = 42:

{{{D = 21}}}

Since T = R/3, and R = 42:

{{{T = 14}}}

So the final results are:

The Reds scored 42, the Yankees scored 35, the Dodgers scored 21 and the Tigers scored 14.