The Smiley Pie Eating team won 30% of the first contests they entered. An amazingly winning streak increased their average to 50%. How many consecutive contests must they have won to have achieved this average?	Choose the correct answer.
A) 30
B) 20
C) 10
D) 25
E) 35
Explanation: Let's set up an equation to find the solution. Total number of contest won to start was 30% of 75 = 22.5. Then, an amazing winning streak increases the percentage to 50%. Let x represent the unknown number of consecutive winning contests. Therefore, the total number of contests entered is (75+x). The total contests won is (22.5+x). With a 50% increase in the total contests won, we end up with a solution equation of 50% * (75+x)+22.5+x. Next, let's get rid of the percent sign and rewrite, then solve the equation. 50/100 * (75+x)=22.5+x   1/2 * (75+x)=22.5+x   2[ 1/2 * (75+x)]=2(22.5+x)   1 * (75+x)=45+2x   75+x=45+2x   (75-45)+x=(45-45)+2x   30+x=2x   (30+x =2x)/x   30=x   30nswer: 30
<result>A</result>
The Smiley Pie Eating team won 30% of the first contests they entered. An amazingly winning streak increased their average to 50%. How many consecutive contests must they have won to have achieved this average?