[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: Stacy, Steve and Sylar have 1100 berries total. Stacy has 4 times as many berries as Steve, and Steve has double the number of berries that Skylar has. How many berries does Stacy have?
A: Let x be the number of berries Skylar has. Steve has 2x berries. Stacy has 4(2x) = 8x berries. 1100 = x + 2x + 8x. 1100 = 11x. x = 100 berries. Stacy has 8(100) = 800 berries. The answer is 800.
Question: In San Diego Zoo, the lion consumes 25 kilograms of meat, and the tiger consumes 20 kilograms of meat per day. If they have 90 kilograms of meat, how many days will the meats last?
Answer: The lion and tiger's daily consumption of meat is 25 + 20 = 45 kilograms. Therefore, their supply of meat will last for 90 / 45 = 2 days. The answer is 2.
[Question]Marites internet speed is 10 megabits per second and her monthly internet bill is $20. Marites is planning to upgrade her service and choosing between 20 Mbps and 30 Mbps. If the price of the 30 Mbps is twice the amount of her current monthly bill and the price of the 20 Mbps is $10 more than her current monthly bill, how much will she save per year if she chooses the 20 Mbps than 30 Mbps?
[Answer]The total monthly bill for 30 Mbps is $20 x 2 = $40. She will have to pay $40 x 12 = $480 every year for 30mbps. The total monthly bill for 20 Mbps is $20 + $10 = $30. So, she will have to pay $30 x 12 = $360 for 20 Mbps per year. Therefore the amount she will save per year if she chooses the 20mbps is $480 - $360 = $120. The answer is 120.
Q: A bar of chocolate is made up of 60 pieces. If Michael takes half of the bar, Paige takes half of the remainder, and Mandy is left with what's left of the chocolate bar, how many pieces of chocolate will Mandy get?
A: Michael takes half which is 60 pieces / 2 = 30 pieces. Paige then takes half of this which gives her 30 pieces / 2 = 15 pieces. Mandy is therefore left with 60 pieces 30 pieces 15 pieces = 15 pieces. The answer is 15.
Question: Conor can chop 12 eggplants, 9 carrots, and 8 potatoes in a day. If he works 4 times a week, how many vegetables can he chop?
Answer:
Conor can chop 12 x 4 = 48 eggplants a week. He can chop 9 x 4 = 36 carrots a week. He can chop 8 x 4 = 32 potatoes a week. Therefore, Conor can chop 48 + 36 + 32 = 116 vegetables a week. The answer is 116.