Consider the Q and A. Q: In a batch of 30 apples, 1/6 are too small and 1/3 are not ripe. The others are perfect. Calculate the number of perfect apples.
A: 15
What is the step-by-step reasoning process?
Step-by-step reasoning process: We first calculate the proportion of all the other apples: 1 / 6 + 1 / 4 + 1 / 12 = 2 / 12 + 3 / 12 + 1 / 12 = 6 / 12. So, the proportion of perfect apples is 12 / 12 - 6 / 12 = 6 / 12 = 0.5. Thus the number of perfect apples is 0.5 * 30 = 15.

Consider the Q and A. Q: Lucy plans to purchase potato chips for a party. Ten people will be at the party, including Lucy. The potato chips cost 25 cents per pound. How much will Lucy pay (in dollars) for the potato chips if she wants each person to get 1.2 pounds?
A: 3
What is the step-by-step reasoning process?
Step-by-step reasoning process: Lucy needs to purchase 10 x 1.2 = 12 pounds of potato chips. So, Lucy will pay 12 x 25 = 300 cents for it. Since there are 100 cents in $1, thus, Lucy will pay 300 / 100 = 3 dollars.

Consider the Q and A. Q: Helga works for a newspaper company. She can write 5 articles every 30 minutes, and she usually works 4 hours a day 5 days a week. If Helga worked an extra 2 hours last Thursday, and an extra 3 hours last Friday, how many articles was she able to write this week?
A: 250
What is the step-by-step reasoning process?
Step-by-step reasoning process: Helga writes 5 x 2 = 10 articles per hour. And she can write 10 x 4 = 40 articles every 4 hours. So, the total number of articles she usually writes for a week is 40 x 5 = 200 articles. She was able to write 10 x 2 = 20 articles on her extra 2 hours last Thursday. And she was able to write 10 x 3 = 30 articles on her extra hour last Friday. So, the total number of articles she was able to write on her extra hours is 20 + 30 = 50. Therefore, she was able to write a total of 200 + 50 = 250 this week.

Consider the Q and A. Q: Cappuccinos cost $2, iced teas cost $3, cafe lattes cost $1.5 and espressos cost $1 each. Sandy orders some drinks for herself and some friends. She orders three cappuccinos, two iced teas, two cafe lattes, and two espressos. How much change does she receive back for a twenty-dollar bill?
A: 3
What is the step-by-step reasoning process?
Step-by-step reasoning process:
Find the total cost of the cappuccinos by multiplying the price by the quantity: 3 cappuccinos x $2 / cappuccino = $6. Then do the same for the iced teas: 2 iced teas x $3 / tea = $6. Then do the same for the cafe lattes: 2 lattes x $1.5 / latte = $3. Then do the same for the espressos: 2 espressos x $1 = $2. In total Sandy pays $6 + $6 + $3 + $2 = $17. Sandy will receive $20 - $17 = $3 in change.