Question: The population of an area starts at 100,000 people. It increases by 60% over 10 years due to birth. In that same time, 2000 people leave per year from emigration and 2500 people come in per year from immigration. How many people are in the area at the end of 10 years?
Answer: The population increased by 100000 * .6 = 60,000 from births. They lost 2000 * 10 = 20,000 people from emigration. They gained 2500 * 10 = 25,000 people from immigration. That means the net increase from people moving was 25000 - 20000 = 5,000. So the total population is 100,000 + 60,000 + 5,000 = 165,000. The answer is 165000.
[Question]It costs Molly $5 per package to send Christmas gifts to her relatives by mail. She has two parents and three brothers, and each of her brothers is married with 2 children each. If she sends one package to each relative by mail, how much does it cost her to send all of the gifts by mail to her relatives, in dollars?
[Answer]Molly has two parents and three brothers, which totals 2 + 3 = 5 parents and siblings. Since each brother is married with 2 children, then each brother has a family containing 1 + 2 = 3 people. Thus, the families of the three brothers contain an additional 3 * 3 = 9 relatives. In total, Molly has 5 + 9 = 14 relatives. At $5 per package, Molly will spend 14 * $5 = $70 to mail the packages. The answer is 70.
Q: In the Math club, there are two times as many males as females. If there are 6 female members, how many members are there in the Math club in total?
A: There are 6 x 2 = 12 male members in the club. Thus, the Math club has a total of 6 + 12 = 18 members. The answer is 18.
Question: Oliver owns a laundry shop, and he charges $2 per kilo of laundry. Two days ago, his shop washed a total of 5 kilos of laundries. Yesterday, it washed five kilos of laundries more than the previous day. Today, it washed twice the number of kilos than yesterday. How much did he earn for three days?
Answer: Yesterday, his shop washed 5 + 5 = 10 kilos of laundry. Today, it washed 2 x 10 = 20 kilos of laundry. Thus, Oliver's shop washed a total of 5 + 10 + 20 = 35 kilos of laundries for three days. Therefore, his shop earned 35 x $2 = $70 for three days. The answer is 70.
[Question]At an auction event, the price of a TV, whose cost was $500, increased by 2/5 times its initial price. The price of a phone, which was $400, also increased by 40% from its original price. If Bethany had taken both items to the auction, calculate the total amount she received for the items after the sale at the auction.
[Answer]If the TV's original price was $500, at the auction, its price increased by 2 / 5 * $500 = $200. The total price at which the TV was sold at the auction is $500 + $200 = $700. The price of the phone also increased at the action, a 40% increase which is 40 / 100 * $400 = $160. The total price that the phone was sold for after the auction is $400 + $160 = $560. In total, the TV and the phone sold for $700 + $560 = $1260 at the auction. The answer is 1260.
[Question]Sara is checking out two different stores to buy a computer. The first store offers a device for $950 with a 6% discount. The second sells the same computer for 920 with a 5% discount. What is the difference in price between the two stores?
[Answer]
The amount of discount in the first store 950 x 6 / 100 = $57. So, the device costs 950 - 57 = $893 in the first store. The amount of discount in the second store is 920 x 5 / 100 = $46. So, the device costs 920 - 46 = $874 in the second store. The difference in price is 893 - 874 = $19. The answer is 19.