Question: Marc bought 5 model cars that cost $20 each and 5 bottles of paint that cost $10 each. He also bought 5 paintbrushes that cost $2 each. How much did Marc spend in total?
Answer: The 5 model cars cost $20 x 5 = $100. The 5 bottles of paint cost $10 x 5 = $50. The 5 paint brushes cost $2 x 5 = $10. Thus, Marc spent $100 + $50 + $10 = $160 in total. The answer is 160.
[Question]Trevor and Joe were working together to finish a 500 piece puzzle. They put the border together first and that was 75 pieces. Trevor was able to place 105 pieces of the puzzle. Joe was able to place three times the number of puzzle pieces as Trevor. How many puzzle pieces are missing?
[Answer]The puzzle is 500 pieces and the border used 75 pieces so 500 - 75 = 425 pieces left. Joe placed three times as many puzzle pieces as Trevor who placed 105 so Joe placed 3 * 105 = 315 piece. Together Joe and Trevor placed 315 + 105 pieces for a total of 420 pieces. With the border down that left 425 pieces left and they put down 420 pieces so that meant 425 - 420 = 5 pieces were missing. The answer is 5.
Q: Tony bought 3 lottery tickets and chose identical numbers on each ticket. He finds out that 5 of the numbers on each lottery ticket are winning numbers. If each winning number is worth $20 then how much money, in dollars, has Tony won in total?
A: Across all of the lottery tickets, Tony has a total of 3 lottery tickets * 5 winning numbers per lottery ticket = 15 winning numbers. Across all the numbers, he has won a total of 15 winning numbers * $20 per winning number = $300. The answer is 300.
Question: Martha is grinding a spice paste. She adds 3 tablespoons of ginger, 1 teaspoon of cardamom, 1 teaspoon of mustard, 2 tablespoons of garlic, and four times as much chile powder as mustard. What percentage of the spice paste is ginger, rounded to the nearest integer? (Remember there are three teaspoons per tablespoon.)
Answer: First convert the ginger to teaspoons: 3 tablespoons * 3 teaspoons / tablespoon = 9 teaspoons. Then convert the garlic to teaspoons: 2 tablespoons * 3 teaspoons / tablespoon = 6 teaspoons. Then find how much chile powder there is: 1 teaspoon * 4 = 4 teaspoons. Then add up the amount of each spice to find the total amount: 9 teaspoons + 6 teaspoons + 4 teaspoons + 1 teaspoons + 1 teaspoon = 21 teaspoons. Then divide the amount of ginger by the total amount of spice paste and multiply by 100% to find the percentage of the spice paste that's ginger: 9 teaspoons / 21 teaspoons * 100% = 42.857, which rounds down to 43%. The answer is 43.
[Question]The sum of Cooper’s, Dante’s, and Maria’s ages is 31. Dante is twice as old as Cooper. Maria is one year older than Dante. How old is Cooper?
[Answer]Let X be the age of Cooper. So Dante is X * 2 years old and Maria is X * 2 + 1 year old. The sum of Cooper’s, Dante’s, and Maria’s ages is X + (X * 2) + (X * 2 + 1) = 31. Combining like terms, we get X * 5 + 1 = 31. Subtracting one from both sides, we get X * 5 = 30. Dividing both sides by 5, we get X = 6 years old. The answer is 6.
[Question]Lucia is a dancer. She takes 2 hip-hop classes a week, 2 ballet classes a week, and 1 jazz class a week. One hip-hop class costs $10. One ballet class costs $12, and one jazz class costs $8. What is the total cost of Lucia’s dance classes in one week?
[Answer]
The total cost of the hip - hop classes is 2 * $10 = $20. The total cost of the ballet classes is 2 * $12 = $24. The total cost of the jazz class is 1 * $8 = $8. The total cost of all of Lucia’s dance classes in one week is $20 + $24 + $8 = $52. The answer is 52.