Bobby has 16 toy cars, and the number of cars he has increases by 50% every year. How many toy cars will Bobby have in three years?

In the first year, Bobby will acquire 16 * .5 =

<<16*.5=8>>8 new cars. After the first year, he will have a total of 16 + 8 = <<16+8=24>>24 cars. In the second year, Bobby will acquire 24 * .5 = <<24*.5=12>>12 new cars. After the second year, he will have 24 + 12 = <<24+12=36>>36 cars in total. In the third year, Bobby will acquire 36 * .5 = <<36*.5=18>>18 new cars. After the third year, he will have 36 + 18 = <<36+18=54>>54 cars in total. #### 54 Last year Jessica paid $1000 for rent, $200 for food, and $100 for car insurance each month. This year her rent goes up by 30%, food costs increase by 50%, and the cost of her car insurance triples because she was at fault in an accident. How much more does Jessica pay for her expenses over the whole year compared to last year? First find the increase in rent by multiplying last year's rent by 30%: $1000 * .3 = $<<1000*.3=300>>300 Then find the food cost increase by multiplying last year's costs by 50%: $200 * .5 = $<<200*.5=100>>100 Then find the new car insurance price by multiplying last year's price by 3: $100 * 3 = $<<100*3=300>>300 Then subtract the cost of car insurance last year from this year's price to find the increase: $300 - $100 = $<<300-100=200>>200 Now find how much Jessica's monthly expenses increased by adding the increases in each of the three costs: $300 + $100 + $200 = $<<300+100+200=600>>600 Now multiply the increase per month by the number of months in a year to find the annual increase: $600/month * 12 months/year = $<<600*12=7200>>7200/year #### 7200 Randy just turned 12 and started playing the piano. His friend Sheila told him about the 10,000-hour rule which says, after 10,000 hours of practice, you become an expert or master in your field. If Randy wants to become a piano expert before he is 20, how many hours a day will he need to practice if he practices every day, Monday – Friday, and takes two weeks off for vacation each year? Randy has 20 – 12 = <<20-12=8>>8 years until he is 20. He must practice 10,000 hours / 8 years = <<10000/8=1250>>1,250 hours a year to become an expert. There are 52 weeks in a year – 2 weeks of vacation Randy plans to take = <<52-2=50>>50 weeks of practice for Randy. Randy will practice Monday – Friday, which is 5 days a week, so 50 weeks x 5 days = <<50*5=250>>250 days of practice each year. Randy will need to practice 1250 hours / 250 days = <<1250/250=5>>5 hours each day. #### 5 Mike and Ted planted tomatoes. In the morning, Mike planted 50 tomato seeds while Ted planted twice as much as Mike. In the afternoon, Mike planted 60 tomato seeds while Ted planted 20 fewer tomato seeds than Mike. How many tomato seeds did they plant altogether? Ted planted 2 x 50 = <<2*50=100>>100 tomato seeds. So, Mike and Ted planted 50 + 100 = <<50+100=150>>150 tomato seeds in the morning. In the afternoon, Ted planted 60 - 20 = <<60-20=40>>40 seeds. Thus, Mike and Ted planted 60 + 40 = <<60+40=100>>100 tomato seeds in the afternoon. Therefore, they planted 150 + 100 = <<150+100=250>>250 tomato seed altogether. #### 250 In 6 months Bella and Bob will be celebrating their 4th anniversary. How many months ago did they celebrate their 2nd anniversary? First, we find their current point in time be realizing that 4 years is 4 sets of 12 months, meaning at that anniversary they will have been together 4*12=<<4*12=48>>48 months Then, we subtract their 6 month difference, finding they are at 48-6=<<48-6=42>>42 months into their relationship. Since 2 years would be 2*12=<<2*12=24>>24 months into the relationship. We take the larger number, 42, and subtract the smaller number, 24 to find the difference in months, meaning it is 42-24= <<42-24=18>>18 months #### 18 A church has 120 members. 40% are adults. The rest are children. How many children more children are there than adults? There are 48 adults because 120 x .4 = <<120*.4=48>>48 60% of members are children because 100 - 40 = <<100-40=60>>60 There are 72 children because 120 x .6 = <<120*.6=72>>72 There are 24 more children than adults because 72 - 48 = <<72-48=24>>24 #### 24 Missy had a giant piggy bank in her bedroom. Every day she would search the house for change to put in her bank. After 4 years, the bank was opened and it contained $450 in change. If the second, third, and fourth-year she doubled the amount of money she put in the bank from the amount she had put in the previous year, how much money, in dollars, did she put in the bank the first year? We let x be the amount of money she put in the bank the first year, Then the second year was 2*x, and the third year was 2*2*x=4*x, and the fourth year was 2*2*2*x=8*x. And the total amount she put in the bank, $450, is the sum of all four years, or $450 = x+(2*x)+(4*x)+(8*x). This simplifies to $450=15*x. And therefore, the amount of money she put in the bank the first year was x=$<<30=30>>30. #### 30 By the time Anne is two times as old as Emile, Emile will be six times as old as Maude. If Maude will be 8 years old, how old will Anne be? If Maude's age is 8 by the time Anne's age is four times Emile's age, Emile will be six times as old as Maude, which totals 6*8 = 48 years. If Emile's age is 48 years old by the time Anne's age is twice her number, Anne will be 2*48 = <<48*2=96>>96 years. #### 96 Ravi has some coins. He has 2 more quarters than nickels and 4 more dimes than quarters. If he has 6 nickels, how much money does he have? Ravi has 6 + 2 = <<6+2=8>>8 quarters. He has also 8 + 4 = <<8+4=12>>12 dimes. A nickel is worth 5 cents so Ravi's nickels amount to 6 x 5 = <<6*5=30>>30 cents. A quarter is worth 25 cents so his quarters amount to 8 x 25 = <<8*25=200>>200 cents. A dime is worth 10 cents so his dimes amount to 12 x 10 = <<12*10=120>>120 cents. therefore, Ravi has 30 + 200 + 120 = <<30+200+120=350>>350 cents. #### 350 Lisa is looking to attempt a World Record. She has decided to try and match Joey Chestnut's record of eating 75 full hotdogs, buns included, in 10 minutes. Halfway through the time Lisa has eaten 20 hotdogs. How many hotdogs will she have to eat per minute to at least tie Joey Chestnut's record? Joey Chestnut ate 75 hotdogs to claim the record and Lisa has eaten 20 hot dogs so far, so she still needs to eat 75-20=<<75-20=55>>55 hotdogs to tie Joey Chestnut. Lisa has a 10 minute time period to eat the hotdogs and half the time has already passed, which means Lisa has 10/2=<<10/2=5>>5 minutes left until the competition is over. If she needs to eat 55 hotdogs to tie Joey Chestnut and there are 5 minutes left in the competition period then she needs to eat 55/5=<<55/5=11>>11 hot dogs per minute to have a chance of tying for a win. #### 11