James gets 3 parking tickets. The first 2 cost $150 each and the third cost 1/3 as much as one of these. His roommate agrees to pay half the cost. How much money does he have left if he had $500 in the bank? Give the rationale and then the answer.
Let's think step by step. The third ticket cost $150 / 3 = $50. So the tickets cost $150 * 2 + $50 = $350. That means he paid $350 / 2 = $175. So he had $500 - $175 = $325 left over.. The answer is: 325.

A soccer team had 24 players prepared for a soccer game. The first half saw 11 players start the game with 2 substitutions made. In the second half, the team made twice as many substitutions as it made in the first half. How many players on the team did not play that day? Give the rationale and then the answer.
Let's think step by step. With two substitutions, 11 + 2 = 13 players from the team played the game in the first half. In the second half, the team made twice the number of substitutions it made in the first half, a total of 2 * 2 = 4 substitutions. The total number of players who played the game is 13 + 4 = 17. If the soccer team had 24 players prepared for the soccer game, the number of players who did not play the game is 24 - 17 = 7 players.. The answer is: 7.

Val has three times as many dimes as nickels. If she accidentally finds twice as many nickels as she has in her older brother's treasure box, and takes them for herself, what would be the value of money she has, in dollars, if she had 20 nickels before finding the new ones from her brother's treasure box? Give the rationale and then the answer.
Let's think step by step. If Val currently has 20 nickels and finds twice as many nickels as she has in her older brother's treasure box, she will have 2 * 20 = 40 more nickels. The total number of nickels she'll have is 40 + 20 = 60. Since nickel is worth $0.05, the value of the nickels Val is having is 60 * 0.05 = $3. Val had three times as many dimes as nickels before she found the 40 new nickels, a total of 3 * 20 = 60 dimes. Since a dime has a value of $0.10, the value of the dimes that Val has is 60 * $0.10 = $6. Together, the value of the dimes and nickels Val has is worth $6 + $3 = $9.. The answer is: 9.