Dear Math Central, I am writing this as a Mom, who has been away from Honors Algebra for many years. Please help, since I am not sure how to tackle this problem. The question involves baseball hits for Jimmy, a team player. 12.5% of his hits were homeruns Jimmy had 82 singles He did not have any triples How many hits did Jimmy have? (Be sure to include the equation that represents the number of hits)
Extra: What is Jimmy's Total Bases Statistic
Thank-you Hi Patty, There are 4 kinds of hits, singles, doubles, tripples and homeruns. Jimmy has no tripples so his hits are either singles, doubles or homeruns. One seventh of his hits are doubles and 12.5% of his hits are homeruns, thus ^{1}/_{7} + 12.5% of his hits are doubles or homeruns.
^{12.5}/_{100} hence the fraction of his hits that are doubles or homeruns is
^{1}/_{7} + ^{12.5}/_{100} = ^{100}/_{700} + ^{87.5}/_{700} = ^{187.5}/_{700}
The rest of his hits, 82 of them, are singles so the fraction of his hits that are singles is ^{187.5}/_{700} = ^{512.5}/_{700}
Let ^{512.5}/_{700} x = 82
x
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