Amon & Rhonda combined have 215 marbles. If Amon owns 55 marbles more than Rhonda, how many marbles does Rhonda have?

Let's say Rhonda has m marbles.

The total number of marbles that Ammon has is m+

<<+55=55>>55 Amon & Rhonda combined have m+(m+55) = 215 This means the total number of marbles they have together is 2m+55 = 215 2m=215-55 The total number of marbles that Rhonda has is m=160/2 Rhonda has m=80 marbles. #### 80 William washes cars as a side job. He typically spends 4 minutes washing a car’s windows, 7 minutes washing the car body, 4 minutes cleaning the tires, and 9 minutes waxing the car. This morning he washed 2 normal cars and one big SUV, which took twice as long as a normal car. How many minutes did William spend washing all the vehicles? William spends 4 + 7 + 4 + 9 = <<4+7+4+9=24>>24 minutes washing a normal car. He washed 2 normal cars, so he spent 24 * 2 = <<24*2=48>>48 minutes on the normal cars. He took twice as long as one car for the SUV, so he took 24 * 2 = <<24*2=48>>48 minutes on the SUV. Thus, William spent 48 + 48 = <<48+48=96>>96 minutes washing all the vehicles. #### 96 Nine adults went to a play with seven children. Adult tickets are $11 each and children's tickets are $7 each. How many dollars more did the adults' tickets cost in total than the children's tickets in total? Adults = 9 * 11 = <<9*11=99>>99 Children = 7 * 7 = <<7*7=49>>49 Difference: 99 - 49 = $<<99-49=50>>50 The adults' tickets cost $50 more than the children's tickets. #### 50 Jack is making barbecue sauce. He uses 3 cups of ketchup, 1 cup of vinegar and 1 cup of honey. If each burger takes 1/4 cup of sauce and each pulled pork sandwich takes 1/6 cup, how many burgers can Jack make if he makes 18 pulled pork sandwiches? First find how much barbecue sauce Jack makes by adding the volume of each ingredient: 3 cups + 1 cup + 1 cup = <<3+1+1=5>>5 cups Then multiply the number of pulled pork sandwiches by the amount of sauce per sandwich to find the total amount used: 1/6 cup/sandwich * 18 sandwiches = <<1/6*18=3>>3 cups Then subtract this amount from the total amount of sauce Jack has to find how much he uses on the burgers: 5 cups - 3 cups = <<5-3=2>>2 cups Then divide this amount by the amount of sauce used per burger to find the number of burgers he can make: 2 cups / 1/4 cup/burger = 8 burgers #### 8 Ronnie is a train engineer. His train pulls 3 red boxcars, 4 blue boxcars, and 7 black boxcars. If the black boxcars can each hold 4000 pounds of coal, which is half as much as what the blue boxcars can hold, and the red boxcars can hold 3 times as much as the blue boxcars, how many pounds of coal can all of the train's boxcars combined hold? If we let X represent the number of pounds of coal that the blue boxcar can hold, then 4000=(1/2)X. Solving for X, we get X=<<8000=8000>>8000 pounds of coal, which represents what the blue car can hold. Thus, the red boxcar can hold 3*8000=<<3*8000=24000>>24,000 pounds of coal. 3 red boxcars can carry 3*24,000=<<3*24000=72000>>72,000 pounds of coal. 7 black boxcars can carry 7*4,000=<<7*4000=28000>>28,000 pounds of coal. 4 blue boxcars carry 4*8,000=<<4*8000=32000>>32,000 pounds of coal. Together, all the trains boxcars can carry 72,000+28,000+32,000=<<72000+28000+32000=132000>>132,000 pounds of coal. #### 132,000 The vending machine fails to drop a snack when it’s purchased one in six times. One in ten times, it will accidentally drop two snacks. The rest of the time, it drops the purchased snack. If thirty people have used the vending machine once each to purchase a snack, how many snacks has the vending machine dropped? The vending machine has been used 30 times, so it has failed to drop a snack 30 / 6 = <<30/6=5>>5 times. The vending machine has dropped 2 snacks 30 / 10 = <<30/10=3>>3 times. It has operated normally and dropped 1 snack 30 - 5 - 3 = <<30-5-3=22>>22 times. Thus, the vending machine has dropped 22 + 3 * 2 = 22 + 6 = <<22+3*2=28>>28 snacks in thirty uses. #### 28 Daisy and Rose were enjoying their backyard pool with their dogs. If there are 24 legs/paws in the pool, how many dogs do Daisy and Rose have? Daisy and Rose each have 2 legs so between them, they have 2*2 = <<2*2=4>>4 legs There are 24 legs in the pool and 4 belong to Daisy and Rose so there are 24-4 = <<24-4=20>>20 legs in the pool Dogs have 4 legs and there are 20 legs in the pool so there are 20/4 = 5 dogs in the pool #### 5 A chihuahua, pitbull, and great dane weigh a combined weight of 439 pounds. The pitbull weighs 3 times as much as the chihuahua. The great dane weighs 10 more pounds than triple the pitbull. How much does the great dane weigh? Let x represent the weight of the chihuahua Pitbull:3x Great dane:10+3(3x)=10+9x Total:x+3x+10+9x=439 13x+10=439 13x=429 x=<<33=33>>33 pounds Great dane:10+9(33)=307 pounds #### 307 John decides to go back to school to get his PhD. He first takes 1 year of courses to get acclimated back to school life before starting his PhD. After that, he spends 2 years learning the basics of his field. He then starts research, and he spends 75% more time on research than he did learning the basics. He then spends half as long on writing his dissertation as his acclimation period. How long did it take him to do everything? It took him 2*.75=<<2*.75=1.5>>1.5 years longer to do his research than it took to learn the basics So it took him a total of 2+1.5=<<2+1.5=3.5>>3.5 years to do research His dissertation took 1/2 = <<1/2=.5>>.5 years to write So everything together took 1+2+3.5+.5=<<1+2+3.5+.5=7>>7 years #### 7 Sarah's external drive showed 2.4 gigabytes free and 12.6 gigabytes used. She decided to delete a folder of size 4.6 gigabytes and store new files of 2 gigabytes. If she will transfer all her files to a new external drive of size 20 gigabytes, how many free gigabytes will the new external drive have? There were 12.6 - 4.6 = <<12.6-4.6=8>>8 gigabytes used after deleting some files. Then, the used space went up to 8 + 2 = <<8+2=10>>10 gigabytes after storing other files. Thus, the new 20 gigabytes external drive will have 20 - 10 = <<20-10=10>>10 gigabytes free. #### 10