Answer this question:A judge oversaw seventeen court cases. Two were immediately dismissed from court. Two-thirds of the remaining cases were ruled innocent, one ruling was delayed until a later date, and the rest were judged guilty. On how many cases did the judge rule guilty?
The judge dismissed 2 cases, leaving 17 - 2 = 15 cases. Of the remaining 15 cases, 2 / 3 * 15 = 10 were ruled innocent. One ruling was delayed, so the judge ruled guilty on 15 - 10 - 1 = 4 cases.
The answer is 4.

Answer this question:Lucas' father offers to pay him $2 for each window in the house that he cleans. Each floor of Lucas' house has 3 windows; Lucas lives in a 3-story house. To get Lucas to finish the job faster, his father tells him that he will subtract $1 for every 3 days that pass without Lucas finishing the job. In 6 days, Lucas finishes cleaning all the windows in the house. How much will his father pay him, in dollars?
Lucas cleans a total of 3 floors * 3 windows / floor = 9 windows. The windows cleaned earn Lucas 2 dollars each, so Lucas earns 9 windows * $2 / window = $18. For taking 6 days to clean, Lucas' father subtracts 6 days / $3 / day = $2. In total, Lucas' father will pay him $18 - $2 = $16.
The answer is 16.

Answer this question:There are three times as many misses as hits in an MLB game. If the number of misses is 50, how many hits and misses are made in the game?
Three times as many misses as hits is 3 * 50 = 150. The total number of hits and misses in the game is 150 + 50 = 200.
The answer is 200.

Answer this question:Jeff wanted to rent an apartment to live in for the next 5 years until he finishes his studies. He found a nice apartment next to his school, the owner asks Jeff to pay $300 each month, Jeff agreed, and for the first 3 years everything went fine, but then the owner wanted to raise the price for each month to $350. Jeff agreed again and continued paying until he graduated. How much did Jeff end up paying for the apartment throughout the 5 years?
At first Jeff paid, $300 / month x 12 months = $3,600 / year. He paid $3,600 / year x 3 years = $10,800 the firsts 3 years. The final 2 years he paid $350 / month x 12 months = $4,200 / year. He paid $4,200 / year x 2 years = $8,400 the last 2 years. He paid the owner $10,800 + $8,400 = $19,200 in total.
The answer is 19200.