Hannah collects mugs. She already has 40 different mugs in 4 different colors. She has three times more blue mugs than red mugs and 12 yellow mugs. Considering that she has only half as many red mugs as yellow mugs, how many mugs of another color than mentioned does she have?

Hannah has half as many red mugs as yellow mugs, which means she has 12 * 0.5 =

<<12*0.5=6>>6 red mugs. Hannas has three times more blue mugs than red ones, which means 3 * 6 = <<3*6=18>>18 blue mugs. So there are 40 - 18 - 6 - 12 = <<40-18-6-12=4>>4 mugs in a different color than mentioned. #### 4 Sara builds a birdhouse that is 1 foot wide, 2 feet tall and 2 feet deep. Jake builds a birdhouse that is 16 inches wide, 20 inches tall and 18 inches deep. What is the difference in volume between the two birdhouses? To compare volumes, the measurements must be in the same units. There are 12 inches in 1 ft, so Sara’s birdhouse is 1 ft x 12 inches/ft = 12 inches wide, 2 ft x 12 inches/ft = 24 inches tall, and 2 ft x 12 inches/ft = 24 inches deep. The volume of Sara’s birdhouse is 12 inches x 24 inches x 24 inches = <<12*24*24=6912>>6,912 cubic inches The volume of Jake’s birdhouse is 16 inches x 20 inches x 18 inches = <<16*20*18=5760>>5,760 cubic inches. The difference between the two birdhouses is 6,912 cubic inches – 5,760 cubic inches = <<6912-5760=1152>>1,152 cubic inches. #### 1,152 Tiffany is looking at a lake full of turtles. The turtles are 60% female and the rest are male. Of the males, 1 in 4 has stripes. Of the ones with stripes, 4 are babies, while 60% are adults How many turtles are in the lake? Of the males with stripes, 40% are babies because 100 - 60 = <<100-60=40>>40 There are 10 males with stripes because 4 / .4 = <<4/.4=10>>10 There are 40 males because 10 / (1/4) = <<10/(1/4)=40>>40 Males make up 40% of the pond's total, because 100 - 60 = <<100-60=40>>40 There are 100 turtles in total 40 / .4 = <<40/.4=100>>100 #### 100 Carrie is trying to sneak some mashed turnips into her kids' mashed potatoes. She knows they didn't notice when she mixed 2 cups of turnips with 5 cups of potatoes. If she has 20 cups of potatoes, how many cups of turnips can she add? First find the number of cups of potatoes Carrie adds per one cup of turnips: 5 cups potatoes / 2 cups turnips = <<5/2=2.5>>2.5 cups potatoes/cup turnips Then divide the number of cups of potatoes she has that that ratio to find the number of cups of turnips she adds: 20 cups potatoes / 2.5 cups potatoes/cup turnips = <<20/2.5=8>>8 cups turnips #### 8 Gabriel is 3 years younger than Frank. The current total of their ages right now is 17. What is Frank's age? Let X be Frank's age. So Gabriel is X-3 years old. The total of their ages is X + (X-3) = 17 years old. 2X-3 = 17 2X = 20 X = <<10=10>>10 So Frank is X = <<10=10>>10 years old. #### 10 My age is five times that of my son. Next year, my son will be eight years old. How old am I now? If the son is going to be eight years old after a year from now, then currently, he is 8-1 = <<8-1=7>>7 Since the father's age is five times that of the son, currently he is 5*7 = <<5*7=35>>35 years old. #### 35 Janet has to drive 30 miles east from home to see her dermatologist and 50 miles west from home to see her gynecologist. If she has appointments with both doctors on the same day, how many gallons of gas does she use driving to both appointments and back home again, if her car gets 20 miles per gallon? First find the total distance she drives to get to the dermatologist and back to her house: 30 miles * 2 = <<30*2=60>>60 miles Then find the total distance she drives to get to the gynecologist and back to her house: 50 miles * 2 = <<50*2=100>>100 miles Then add those two amounts to find how far she drives total: 60 miles + 100 miles = <<60+100=160>>160 miles Then divide that distance by her car's gas mileage to find how many gallons of gas she needs: 160 miles / 20 miles/gallon = <<160/20=8>>8 gallons #### 8 Zack's number of marbles can be divided equally among three people, leaving Zack with 5. If Zack decided to give his three friends 20 marbles each and kept five, how many marbles did he initially have? If Zack decided to give his three friends 20 marbles each, he gave them 3*20=<<3*20=60>>60 marbles. If he kept five, Zack initially had 60+5=<<60+5=65>>65 marbles. #### 65 A charity organization's goal is to distribute 400 boxes of food to a community that was recently destroyed by a flood. Each box contains $80 worth of food and $165 worth of additional supplies such as toiletries and fresh linens. Then, an anonymous donor gives the organization 4 times the amount of money they had already spent, allowing them to pack many more boxes. How many boxes do they pack in total? Each box costs $80 + $165 = $<<80+165=245>>245 They spent $245/box x 400 boxes = $98,000 on 400 boxes. They were given another $98,000 x 4 = $<<98000*4=392000>>392,000 They are able to pack another $392,000/$245/box = 1600 boxes Altogether, they pack 1600 boxes + 400 boxes = <<1600+400=2000>>2000 boxes. #### 2000 A squirrel had stashed 210 acorns to last him the three winter months. It divided the pile into thirds, one for each month, and then took some from each third, leaving 60 acorns for each winter month. The squirrel combined the ones it took to eat in the first cold month of spring before plants were in bloom again. How many acorns does the squirrel have to eat at the beginning of spring? The squirrel split the 210 acorns into thirds, so it had 3 piles of 210 / 3 = <<210/3=70>>70 acorns. It took 70 - 60 = <<70-60=10>>10 from each pile. The squirrel will have 3 * 10 = <<3*10=30>>30 acorns to eat at the beginning of spring. #### 30