You and two friends scored all 7 runs for your team in a baseball game. Jeff scored twice as many runs as you, and Mary scored twice as many runs as Jeff. How many runs did Jeff score?
runs scored by you --- x
runs scored by Jeff --- 2x
runs scored by Mary -- 2(2x) = 4x
x+2x+4x=7
7x=7
x=1
Jeff scored 2(1) or 2 runs , (you had one and Mary had 4)
To find out how many runs Jeff scored, we can use the given information that he scored twice as many runs as you. Since you scored some runs and Jeff scored twice as many, we can represent the number of runs you scored as "x" and the number of runs Jeff scored as "2x".
Now, we are also told that Mary scored twice as many runs as Jeff. So, the number of runs Mary scored will be 2 times the number of runs Jeff scored, which is 2 times 2x, or 4x.
Furthermore, we know that the total runs scored by the team is 7. That means we can add up the runs you scored, the runs Jeff scored, and the runs Mary scored to get the total:
x + 2x + 4x = 7
Simplifying this equation, we combine like terms:
7x = 7
Now we can solve for x by dividing both sides of the equation by 7:
x = 7/7
Thus, x = 1.
So, you scored 1 run, Jeff scored twice as many, which is 2 * 1 = 2 runs. Therefore, Jeff scored 2 runs.