[Question]: A group of bedbugs infested an old mattress. Every day, the number of bedbugs would triple. After four days, there were 810 bedbugs burrowing into the mattress. How many bedbugs did the group start with?
[Answer]: On the third day, there were one - third of the number of bedbugs as the fourth day, so there were 810 / 3 = 270 bedbugs. On the second day, there were one - third of the third day’s bedbugs, so there were 270 / 3 = 90 bedbugs. On the first day, there were 90 / 3 = 30 bedbugs in the group to start with.
So the answer is 30.

[Question]: Tim decides to run a campaign for governor. He gets the maximum $1200 donation from 500 people, and three times as many people donated half this sum of money to his campaign. These donations together accounted for 40% of the total money that Tim raised. How much total money did he raise?
[Answer]: He got 1200 * 500 = $600,000 from maxed donors. The smaller donors donated 1200 / 2 = $600. He had 500 * 3 = 1500 of these donors. So they donated 1500 * 600 = $900,000. So large donations where worth 900,000 + 600,000 = $1,500,000. So he raised 1,500,000 / .4 = $3750000.
So the answer is 3750000.

[Question]: Tonya has opened a lemonade stand selling lemonade in small, medium, and large cups at $1, $2 and $3 respectively. At the close of business she ended up making $50. As she went back through her inventory she noticed that she sold $11 worth of small lemonades and $24 worth of medium lemonades. How many cups of large lemonade did Tonya sell?
[Answer]:
1. Tonya sold $11 worth of small lemonades and $24 worth of medium lemonades which makes $11 + $24 = $35 for small and medium lemonades. 2. Tonya made a total of $50. If she made $35 selling the two smaller sizes and she sold three sizes in all then $50 - $35 = $15 worth of large lemonades. 3. The large lemonades sold for $3 each and Tonya sold $15 worth of large lemonades which means she sold $15 / $3 = 5 large cups of lemonade.
So the answer is 5.