There are 110 calories in a serving of cheese. Rick buys the large blocks that have 16 servings per block. If Rick has already eaten 5 servings of cheese, how many calories are remaining in the block?
How many servings of cheese does Rick have left? ** The block has 16 servings and he has eaten 5 servings leaving 16-5 =
<<16-5=11>>11 servings of cheese How many calories are remaining in the block? ** There are 11 servings of cheese left and each serving is 110 calories for a total of 11*110 = <<11*110=1210>>1,210 calories #### 1210 Jason is mixing a batch of black paint. He needs to add 2 grams of charcoal for every 30 ml of water. If he adds 900 ml of water, how much charcoal does he add? How many ml of water does Jason need for 1 gram of charcoal? ** First find how many ml of water Jason needs for 1 gram of charcoal: 30 ml / 2 grams = <<30/2=15>>15 ml/g How much charcoal does Jason use? ** Then divide the amount of water Jason uses by the amount of water per gram of charcoal to find how much charcoal he uses: 900 ml / 15 ml/g = <<900/15=60>>60 g #### 60 Carl types at a speed of 50 words per minute. If he types continuously for 4 hours per day, how many words can he type in 7 days? How many words can Carl type per hour? ** The number of words that Carl can type per hour is 50 * 60 = <<50*60=3000>>3000 words. How many words can Carl type in 4 hours? ** The number of words that Carl can type in 4 hours is 3000 * 4 = <<3000*4=12000>>12000 words. How many words can Carl type in 7 days? ** The number of words that Carl can type in 7 days is 12000 * 7 = <<12000*7=84000>>84000 words. #### 84000 Janet hires six employees. Four of them are warehouse workers who make $15/hour, and the other two are managers who make $20/hour. Janet has to pay 10% of her workers' salaries in FICA taxes. If everyone works 25 days a month and 8 hours a day, how much does Janet owe total for their wages and taxes for one month? How many hours do the warehouse workers work in a month? ** First figure out how many hours each worker works per month by multiplying the number of days they work by the number of hours a day they work: 25 days * 8 hours/day = <<25*8=200>>200 hours How much do the warehouse workers make in a month? ** Then calculate how much one warehouse worker makes per month by multiplying their hourly rate by the number of hours they work: 200 hours * $15/hour = $<<200*15=3000>>3000 How much do the warehouse workers make in a month? ** Then multiply that number by 4 to find out how much all the warehouse workers make: $3000/worker * 4 workers = $<<3000*4=12000>>12,000 How much does each manager make in a month? ** Now multiply the hours each manager works (also 200) by their hourly wage to find out how much one manager makes per month: 200 hours * $20/hour = $<<200*20=4000>>4,000 How much do the managers make in a month? ** Now multiply one manager's wages by the number of managers (2) to find their total wage amount: $4,000/manager * 2 managers = $<<4000*2=8000>>8,000 How much does Janet pay in total for the wages and taxes for one month? ** Now add the wages for the managers and the workers to find the total cost of the wages: $8,000 + $12,000 = $<<8000+12000=20000>>20,000 How much does Janet owe in FICA taxes? ** Now multiply the total wage bill by 10% to find how much the FICA taxes are: $20,000 * .1 = $<<20000*.1=2000>>2,000 How much does Janet owe in total for the wages and taxes for one month? ** Now add the total wage bill to the total tax amount to find the grand total: $2,000 + $20,000 = $<<2000+20000=22000>>22,000 #### 22000 The seats of a bus are arranged in 23 rows of 4 seats. At the start, 16 people climb. At the first stop, 15 people board the bus and 3 get off. At the second stop, 17 people get on the bus and 10 get off. How many empty seats are there after the second stop? How many seats are there? ** There are 23 * 4 = <<23*4=92>>92 seats on this bus. How many people are on the bus after the first stop? ** After the first stop, there are 16+15 - 3 = <<16+15-3=28>>28 people on the bus. How many people are on the bus after the second stop? ** After the 2nd stop, there are 28+17 - 10 = <<28+17-10=35>>35 people on the bus. How many empty seats are there after the second stop? ** So there are 92 - 35 = <<92-35=57>>57 empty seats on the bus after the 2nd stop. #### 57 Farmer Brown raises emus, large birds. His flock has a total of 60 heads and legs. How many emus are in his flock? How many heads and legs does each emu have? ** Each emu has 1+2=<<1+2=3>>3 heads and legs. How many emus are in his flock? ** Then the flock has 60/3=<<60/3=20>>20 animals. #### 20 Hash has nine more than half as many toys as Bill has. If Bill has 60 toys, how many total toys do the boys have? How many toys does Bill have? ** First we need to know what half of Bills toys are, 60 toys / 2 = <<60/2=30>>30 toys. How many toys does Hash have? ** Hash has 9 toys + 30 toys = <<9+30=39>>39 toys. How many total toys do the boys have? ** Together the boys have 60 toys + 39 toys = <<60+39=99>>99 toys. #### 99 Berry wants to make sure he reads an average of 50 pages a day. This week he read 43 pages on Sunday, 65 pages on Monday, and 28 pages on Tuesday. He had a soccer game and fell asleep early on Wednesday so he read nothing. On Thursday he read 70 pages, and on Friday he read 56 pages. How many pages does he have to read on Saturday to reach his goal? How many pages does he have to read in a week? ** He has to read 350 pages a week because 7 x 50 = <<7*50=350>>350 How many pages has he read? ** He has read 262 pages because 43+65+28+70+56 = <<43+65+28+70+56=262>>262 How many pages does he have to read on Saturday? ** He has to read 88 pages on Saturday because 350-262 =<<350-262=88>>88 #### 88 There are enough provisions in a castle to feed 300 people for 90 days. After 30 days, 100 people leave the castle. How many more days are left until all the food runs out? How many days are left after 30 days? ** After 30 days, there will be enough food left to sustain 300 people for 90 days – 30 days = 60 days. How many people are left after 100 people leave? ** After the 100 people leave, there will be 300-100 = <<300-100=200>>200 people left. How much food will the 200 people eat? ** The 200 people will eat 200/300 = 2/3 as much food as the original group of people in the castle. How many more days will the food last? ** The 60 days' worth of food will last this smaller group for 60 days / (2/3) = <<60/(2/3)=90>>90 more days. #### 90 The selling price of a bicycle that had sold for $220 last year was increased by 15%. What is the new price? How much did the price increase? ** The price of the bicycle increased by $220 * 15/100 = $<<220*15/100=33>>33. What is the new price? ** Adding the increment price, the new price is $220 + $33 = $<<220+33=253>>253. #### 253