SAT Math help???

<p>This is from PWN the SAT: Math:</p>

<p>Andy and Sean are in a fantasy baseball league. Last month, the players on Andy’s team struck out 7 times for every 2 home runs they hit. In the same month, Sean’s players hit 9 home runs for every 5 home runs Andy’s players hit. If Andy’s players struck out 105 times last month, how many home runs did Sean’s players hit over the same span of time?</p>

<p>A) 39
B) 45
C) 49
D) 54
E) 63</p>

<p>This is the explanation:</p>

<p>AK= Andy strikeouts
AH: Andy Home runs
SH: Sean Home runs</p>

<p>7AK 5AH 35AK
---- times ----- = -----
2AH 9SH 18SH</p>

<p>(7AK over 2AH times 5AH over 9SH equals 35AK over 18SH)</p>

<p>I don’t understand, why is the nine on the bottom instead of the top? Isn’t 5AH supposed to be on the bottom with 2AH? </p>

<p>35AK 105AK
----- = ------
18SH xSH</p>

<p>(35AK over 18SH = 105AK over xSH)</p>

<p>35x=1890</p>

<p>x=54</p>

<p>Please help someone??</p>

<p>105/7<em>2 for the number of home runs Andy’s team hit.
So thats 30.
30/5 to come up with the NUMBER to times 9. Since the ratio of Seans home runs to Andy’s home runs is 9:5.
30/5=6
6</em>9=54</p>