[Question]3000 bees hatch from the queen's eggs every day. If a queen loses 900 bees every day, how many total bees are in the hive (including the queen) at the end of 7 days if at the beginning the queen had 12500 bees?
[Answer]3000 new bees are born every day. In 7 days there will be 3000 * 7 = 21000 new bees. If each day the queen loses 900 bees, in 7 days there will be 900 * 7 = 6300 fewer bees. If at the beginning the queen had 12500 bees, then at the end of 7 days she will have 12500 + 21000 - 6300 = 27200 bees. The total number of bees in the hive including the queen is 27200 + 1 = 27201. The answer is 27201.
Q: Bethany is working at the front desk at Joe’s Gym. There were some people lifting weights when she started her shift. Then 5 more people came in and started running on the treadmill and 2 people left. There are now 19 people in the gym. How many people were lifting weights at the start of Bethany’s shift?
A: We know that 5 people came in and 2 people left after Bethany’s shift started, so there was a net change of 5 – 2 = 3 people. If there are 19 people now in the gym and that is 3 more than when Bethany’s shift started, we know there were 19 – 3 = 16 people lifting weights at the start of her shift. The answer is 16.
Question: At Theo’s cafe, he makes 3 egg and 4 egg omelettes. His cafe is open from 7:00 a.m. to 11:00 a.m. In the first hour, 5 customers order the 3 egg omelettes. In the second hour, 7 customers order the 4 egg omelettes. In the third hour, 3 customers order the 3 egg omelettes. In the last hour, 8 customers order the 4 egg omelettes. How many eggs does Theo need to make all the omelettes?
Answer: In the first and third hour, 5 + 3 = 8 customers order the 3 egg omelettes. In the second and last hour, 7 + 8 = 15 customers order the 4 egg omelettes. To make the 3 egg omelettes, Theo needs 3 x 8 = 24 eggs. To make the 4 egg omelettes, Theo needs 15 x 4 = 60 eggs. To make all the omelettes, he needs 24 + 60 = 84 eggs. The answer is 84.
[Question]The price of an iPhone fell 10% in a particular month and another 20% in the second month. If the initial price was $1000, calculate the price after the second month.
[Answer]In the first month, the price of the iPhone fell by 10 / 100 * $1000 = $100. The new price after the first month is $1000 - $100 = $900. In the second month, the price fell 20% further by 20 / 100 * $900 = $180. The new price after the second month is $900 - $180 = $720. The answer is 720.
Q: Jonny climbed 1269 stairs last week. Julia climbed 7 less than one-third of that amount. How many stairs did Julia and Jonny climb together?
A: Julia climbed 1269 / 3 - 7 = 416 stairs. Total stairs climbed = 1269 + 416 = 1685 stairs. Together Jonny and Julia climbed 1685 stairs. The answer is 1685.
Question: Harry wants to build a homemade helium balloon with his son, Kevin, so he and Kevin go to the store with $200. They buy a giant sheet to turn into a balloon for $42, a rope for $18, and a propane tank and burner for $14. They plan to use the rest of the money on helium. The helium is $1.50 per ounce. For every ounce they buy, the balloon can fly 113 feet higher. How many feet up can they fly the balloon?
Answer:
They have $126 for helium because 200 - 42 - 18 - 14 = 126. They can buy 84 ounces of helium because 126 / 1.5 = 84. They can fly 9,492 feet up because 84 x 113 = 9,492. The answer is 9492.