[Question]Ted needs to purchase 5 bananas and 10 oranges. If bananas cost $2 each and oranges cost $1.50 each. How much money does Ted need to purchase 5 bananas and 10 oranges?
[Answer]Ted needs 5 bananas and they each cost $2. To purchase the bananas, Ted needs 5 * 2 = 10 dollars. Because Ted needs 10 oranges and they each cost $1.50, Ted needs 10 * 1.5 = 15 dollars to pay for the oranges. All together Ted needs $10 for the bananas and $15 for the oranges, so combined Ted needs 10 + 15 = 25 dollars to purchase all the produce. The answer is 25.
Q: Ravi can jump higher than anyone in the class. In fact, he can jump 1.5 times higher than the average jump of the three next highest jumpers. If the three next highest jumpers can jump 23 inches, 27 inches, and 28 inches, how high can Ravi jump?
A: The total height the next three highest can jump is 78 inches because 23 + 27 + 28 = 78. The average height they can jump is 26 inches because 78 / 3 = 26. Ravi can jump 39 inches high because 26 x 1.5 = 39. The answer is 39.
Question: For a New Year’s Eve appetizer, Alex is serving caviar with potato chips and creme fraiche. He buys 3 individual bags of potato chips for $1.00 each and dollops each chip with some creme fraiche that costs $5.00 and then the $73.00 caviar. This appetizer will serve 3 people. How much will this appetizer cost per person?
Answer: He buys 3 bags of potato chips for $1.00 each so that’s 3 * 1 = $3.00. The chips are $3.00, the creme fraiche is $5.00 and the caviar is $73.00 for a total of 3 + 5 + 73 = $81.00. The appetizer costs $81.00 and will serve 3 people so it will cost 81 / 3 = $27.00 per person. The answer is 27.
[Question]Denmark wants to order pizza. For toppings, he has 3 cheese, 4 meat and 5 vegetable options, one of which is peppers. He can have only one selection from each topping category (one cheese, one meat and one vegetable). However, if he chooses to have pepperoni, he cannot have peppers. How many topping combinations does he have total?
[Answer]Permutate the ingredients. 3 cheeses * 4 meats * 5 vegetables = 60 choice. However, we must take out the combinations that could have pepperoni and peppers, 1 cheese + 1 meat * + 1 vegetable = 3 bad choices. 60 - 3 = 57 choices. The answer is 57.
Q: Tommy has a flag that is 5 feet wide and 4 feet tall. He wants to paint it with a new design. He knows from experience that he needs to paint both sides. Paint costs $2 a quart and a quart is good for 4 square feet. How much does he spend on paint?
A: Each side of the flag is 20 square feet because 5 x 4 = 20. Both side total to 40 square feet because 2 x 20 = 40. He will need 10 quarts because 40 / 4 = 10. This will cost $20 because 10 x 2 = 20. The answer is 20.
Question: Karen's class fund contains only $10 and $20 bills, which amount to $120. The number of $10 bills is twice as many $20 bills. How many $20 bills do they have in their fund?
Answer:
If n is the number of $20 bills then 2n is the number of $10 bills. So the equation will be $10(2n) + $20n = $120. By combining like terms, the equation becomes 40n = 120. So, the value of n which represents the number of $20 bills is 120 / 40 = 3. The answer is 3.