A charcoal grill burns fifteen coals to ash every twenty minutes of grilling. The grill ran for long enough to burn three bags of coals. Each bag of coal contains 60 coals. How long did the grill run?
How many coals did the grill burn? ** The grill burned 3 * 60 =
<<3*60=180>>180 coals. How long did the grill run? ** It takes 20 minutes to burn 15 coals, so the grill ran for 180 / 15 * 20 = <<180/15*20=240>>240 minutes. #### 240 Djibo is 17 years old. Five years ago Djibo added his age with his sister's age and the sum was 35. How many years old is Djibo's sister today? How old was Djibo 5 years ago? ** Age 5 years ago: 17 - 5 = <<17-5=12>>12 How old was Djibo's sister 5 years ago? ** Sister's age 5 years ago: 35 - 12 = <<35-12=23>>23 How old is Djibo's sister today? ** Sister's age today: 23 + 5 = <<23+5=28>>28 years How old is Djibo's sister today? ** Djibo's sister is 28 years old today. #### 28 Janet makes 50 snowballs and her brother makes 150 snowballs. What percentage of the snowballs did Janet make? How many snowballs did Janet and her brother make? ** First add the number of snowballs each person made to find the total: 50 snowballs + 150 snowballs = <<50+150=200>>200 snowballs What percentage of the snowballs did Janet make? ** Then divide the number Janet made by the total number and multiply by 100% to express the answer as a percentage: 50 snowballs / 200 snowballs * 100% = 25% #### 25 Cindy was 5 years old. Her sister Jan was 2 years older than Cindy. Their oldest sister Marcia was twice as old as Jan. Greg was two years older than Marcia. How old was Greg? How old was Jan? ** Jan was 2 years older than Cindy who was 5 so 2+5 = <<2+5=7>>7 years old How old was Marcia? ** Marica was twice as old as Jan so 2*7 = <<2*7=14>>14 years old How old was Greg? ** Greg was 2 years older than Marcia who was 14 so 2+14 = <<2+14=16>>16 years old #### 16 Johnny TV makes 25 percent more movies than L&J Productions each year. If L&J Productions produces 220 movies in a year, how many movies does the two production companies produce in five years combined? How many more movies does Johnny TV make than L&J Productions each year? ** Johnny TV makes 25/100*220=<<25/100*220=55>>55 more movies than L&J Productions each year. How many movies does Johnny TV make in a year? ** The total number of movies that Johnny TV makes in a year is 220+55=<<220+55=275>>275 How many movies does the two production companies produce in five years combined? ** Together, Johnny TV and L&J Productions make 275+220=<<275+220=495>>495 movies in a year. How many movies does the two production companies produce in five years combined? ** In five years, the two companies make 495*5=<<495*5=2475>>2475 movies. #### 2475 Unique is making biscuits. She has a sheet of dough that is 12 inches by 12 inches. She makes square biscuits and each biscuit is 3 inches by 3 inches. How many biscuits can she make with this dough? How many square inches of dough does Unique have? ** She has 144 square inches of dough because 12 times 12 equals <<12*12=144>>144. How many square inches of dough does each biscuit use? ** Each biscuit uses 9 square inches of dough because 3 times 3 equals 9. How many biscuits can Unique make? ** She can make 16 biscuits because 144 divided by 9 equals <<144/9=16>>16. #### 16 Oleg is an event organizer. He is organizing an event with 80 guests where 40 of them are men, half the number of men are women, and the rest are children. If he added 10 children to the guest list, how many children will there be at the event? How many women are there? ** There are 40/2= <<40/2=20>>20 women at the event. How many people are there? ** Hence, there are a total of 40 + 20 = <<40+20=60>>60 men and women at the event. How many children will there be at the event? ** So, the total number of children at the event is 80 - 60 = <<80-60=20>>20. How many children will there be at the event? ** After Oleg added 10 children to the guest list, there are a total of 20 + 10 = <<20+10=30>>30 children. #### 30 Kevin holds the world record for eating the biggest quantity of hot wings in 8 minutes. He can eat 64 wings without stopping. Alan, a boy who loves hot wings, wants to beat Kevin's record. He is currently able to eat 5 hot wings per minute. How many more wings must he eat per minute to beat Kevin's record? How many wings does Kevin eat in a minute? ** Knowing Kevin's record of eating 70 wings in 8 minutes or 64 / 8 = 8 wings in a minute How many wings must Alan eat per minute to beat Kevin's record? ** Alan must increase his ability to eat 5 wings per minute to 8 - 5 = 3 wings per minute to equal Kevin's world record. How many wings must Alan eat per minute to beat Kevin's record? ** To beat Kevin, Alan must eat 3+1 = <<3+1=4>>4 hot wings per minute. #### 4 Sarah, Mary, and Tuan decided to go to the restaurant for a meal. They decided to split the cost of the meal evenly. If the total price of the meal comes to $67 and they have a coupon for $4, how much does each person need to contribute to the bill? How much does the meal cost after using the coupon? ** After using the coupon, the final price comes to 67 - 4 = <<67-4=63>>63 dollars. How much does each person need to contribute to the bill? ** With three people, they each need to pay 63 / 3 = <<63/3=21>>21 dollars each. #### 21 Ryan's party was 4 times as huge as Taylor's birthday party. If both parties combined had 240 people, how many people were there at Ryan's party? How many people were at Taylor's party? ** To get the number of people at Taylor's party, we'll assume there were n people at his party. How many people were at Ryan's party? ** The total number of people at Ryan's party is 4*n, four times the number of attendees at Taylor's party. How many people were at both parties combined? ** Combined, there were 4n+n = 240 people at both parties. How many people were at both parties combined? ** This translates to 5n=240. How many people were at Taylor's party? ** The total number of people at Taylor's party is n=240/5 How many people were at Taylor's party? ** There were n=<<48=48>>48 people at Taylor's party. How many people were at Ryan's party? ** Since Ryan's party was 4 times as huge as Taylor's party, at Ryan's party, there were 48*4 = <<48*4=192>>192 people. #### 192