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: 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. The answer is 7.
Question: Cynthia has three children whose ages add up to 35. Matthew is two years older than Rebecca and four years younger than Freddy. How many years old is Freddy?
Answer: Let A be Matthew's age. Rebecca is A - 2 years old. Freddy is A + 4 years old. Their ages add up to 35, so A + A - 2 + A + 4 = 3A + 2 = 35. Therefore, 3A = 35 - 2 = 33. Matthew is A = 33 / 3 = 11 years old. Thus, Freddy is 11 + 4 = 15 years old. The answer is 15.
[Question]Buying a toaster requires an insurance plan that is 20% of the MSRP, plus a mandatory state tax rate of 50% after the insurance plan calculation. Jon chooses to buy a toaster that costs $30 at MSRP. What is the total he must pay?
[Answer]The insurance plan costs $30 * 0.2 = $6. The pre - state tax total is $30 + $6 = $36. State tax will be $36 * 0.5 = $18. Jon needs to pay $18 + $36 = $54 for his new toaster. The answer is 54.
Q: There are 16 people at a dinner party. There are 40 dinner rolls available for them. Half the people eat 1 1/2 rolls each. The other half eat 1/2 a roll each. How many dinner rolls are leftover?
A: Half the people at the party is 16 / 2 = 8 people. 8 people at the party eat 1 1 / 2 rolls each, 8 x 1 1 / 2 = 12 dinner rolls eaten. 8 people at the party eat 1 / 2 a roll each, 8 x 1 / 2 = 4 dinner rolls eaten. Combined, the people at the party ate 12 + 4 = 16 dinner rolls. There were originally 40 dinner rolls - 16 that got eaten = 24 dinner rolls leftover. The answer is 24.
Question: Oliver has 4 friends that he is inviting to a party at the arcade. Game tokens cost 30 for $1. Each game costs 2 tokens. If he wants all his friends to get to play 60 games each, how much will it cost?
Answer: He needs to buy enough tokens for 240 games because 4 x 60 = 240. He needs to buy 480 tokens because 2 x 240 = 480. He needs to spend 160 because 480 / 30 = 16. The answer is 16.
Q: Gerald spends $100 a month on baseball supplies. His season is 4 months long. He wants to use the months he's not playing baseball to save up by raking, shoveling, and mowing lawns. He charges $10 for each. How many chores does he need to average a month to save up for his supplies?
A:
He needs to save up $400 because 4 x 100 = 400. He has 8 months to earn this money because 12 - 4 = 8. He needs to earn $50 a month because 400 / 8 = 50. He needs to do 5 tasks a month because 50 / 10 = 5. The answer is 5.