SOLUTION: Please help me solve this Open-ended problem: At one point early this season, Clipper was batting .500. After getting 3 hits in 10 at-bats in his next games, his average drop

Question 131588: Please help me solve this Open-ended problem:
At one point early this season, Clipper was batting .500. After getting 3 hits in 10 at-bats in his next games, his average dropped to .333.
B. How many hits and at-bats must he have altogether.

Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
This is tough especially if you don't follow baseball.
Let x be the number of hits when he batted .500, 2x are the number of at bats.
x/2x=1/2=.500
3/10=.300
.
(x+3)/(2x+10)=1/3
3(x+3)=2x+10 Multiply each side by 3(2x+10) to eliminate fractions.
3x+9=2x+10
x=1
So, he had 1 hit in 2 at bats.
.
Check:
(1+3)/(2+10)=1/3=.333
So he had 4 hits in 12 at bats altogether. Answer.
.
Ed
RELATED QUESTIONS
A week ago, Sandy�s seasonal Little League batting average was 360. After five more at... (answered by josmiceli,richwmiller)

can you please help me solve and check this problem: (((In baseball a player's batting... (answered by mangopeeler07)

PLEASE HELP I AM SO LOST! :( In 2004 Major League Baseball, Barry Bonds, playing for... (answered by ankor@dixie-net.com)

I have been working on this math problem and don't know how to get the second part of it... (answered by ankor@dixie-net.com)

I'm trying to do my math homework but im getting every question wrong, so if you can... (answered by richwmiller)

Solve the problem. An object is propelled vertically upward rom the top af a112-foot... (answered by mbarugel,venugopalramana)

Please help me solve this word problem: Joe is a place kicker for his college football... (answered by Alan3354)

Please help me solve this problem. Of a group of boys and girls at Central Middle... (answered by ankor@dixie-net.com)

Im stuck on this one problem and Im not getting it at all can you help me... (answered by saifoo.khan)