Q: Missy had a giant piggy bank in her bedroom. Every day she would search the house for change to put in her bank. After 4 years, the bank was opened and it contained $450 in change. If the second, third, and fourth-year she doubled the amount of money she put in the bank from the amount she had put in the previous year, how much money, in dollars, did she put in the bank the first year?
A: 30
Step-by-step reasoning process: We let x be the amount of money she put in the bank the first year,. Then the second year was 2 * x,. and the third year was 2 * 2 * x = 4 * x,. and the fourth year was 2 * 2 * 2 * x = 8 * x. And the total amount she put in the bank, $450, is the sum of all four years, or $450 = x + (2 * x) + (4 * x) + (8 * x). This simplifies to $450 = 15 * x. And therefore, the amount of money she put in the bank the first year was x = $30.

Q: George collected 50 marbles in white, yellow, green, and red. Half of them are white, and 12 are yellow. There are 50% fewer green balls than yellow balls. How many marbles are red?
A: 7
Step-by-step reasoning process: Half of the marbles are white, so there are 50 / 2 = 25 white marbles. Green marbles are only 50% as many as yellow marbles, so there are 50 / 100 * 12 = 6 green marbles. So currently we know that we have 25 + 12 + 6 = 43 marbles. The rest are red, so there are 50 - 43 = 7 red marbles.

Q: In the Oprah Winfrey High School marching band, each trumpet and clarinet player carries 5 pounds of weight, each trombone player carries 10 pounds of weight, each tuba player carries 20 pounds of weight, and each drum player carries 15 pounds of weight. If there are 6 trumpets, 9 clarinets, 8 trombones, 3 tubas, and 2 drummers, how much weight does the total marching band carry?
A: 245
Step-by-step reasoning process: First find the total number of clarinet and trumpet players: 6 players + 9 players = 15 players. Then find the total weight of the trumpets and clarinets: 15 players * 5 pounds / player = 75 pounds. Then find the total weight of the trombones: 8 players * 10 pounds / player = 80 pounds. Then find the total weight of the tubas: 3 players * 20 pounds / player = 60 pounds. Then find the total weight of the drummers: 2 drummers * 15 pounds / player = 30 pounds. Then add the weight of each type of instrument to find the total weight: 75 pounds + 80 pounds + 60 pounds + 30 pounds = 245 pounds.

Q: Erwan went on shopping. He purchased a pair of shoes at $200 but discounted 30%, and two shirts at $80 each. Upon checkout, the cashier said that there is an additional 5% discount. How much did he spend after all the discounts?
A: 285
Step-by-step reasoning process: The total discount of a pair of shoes is $200 x 30 / 100 = $60. He spent $200 - $60 = $140 for a pair of shoes. The total cost of two shirts is $80 x 2 = $160. The initial cost of his purchase is $140 + $160 = $300. He got an additional $300 x 5 / 100 = $15 discount upon checkout. Therefore, Erwan spent $300 - 15 = $285 after all the discounts.