James started a food fight in his school's cafeteria, and the school administration is making him work off the cost of all the food he wasted at minimum wage ($8). James has to pay for 20 wasted pounds of meat at $5/pound, 15 wasted pounds of fruits and vegetables at $4/pound, 60 wasted pounds of bread products at $1.50/pound, and 10 hours of time-and-a-half pay for the janitorial staff, who normally make $10/hour. How many hours will James have to work to pay for everything?
First find the total cost of the wasted meat: $5/pound * 20 pounds = $
<<5*20=100>>100 Then find the total cost of the wasted vegetables: $4/pound * 15 pounds = $<<4*15=60>>60 Then find the total cost of the wasted bread products: $1.50/pound * 60 pounds = $<<1.5*60=90>>90 Then find the time-and-a-half rate for the janitors: $10/hour * 1.5 = $<<10*1.5=15>>15/hour Then multiply that by the number of hours to find the total janitorial cost: $15/hour * 10 hours = $<<15*10=150>>150 Then add up all the costs to find the total cost of everything: $100 + $60 + $90 + $150 = $<<100+60+90+150=400>>400 Then divide the total James owes by his hourly wage to find how many hours he needs to work: $400 / $8/hour = <<400/8=50>>50 hours #### 50 Helga went shopping for a new pair of shoes. At the first store, she tried on 7 pairs of shoes. At the second store, she tried on 2 more pairs than at the first store. At the third store, she did not try on any shoes, but she did buy a scarf. But at the fourth store, she tried on twice as many pairs of shoes as she did at all three other stores combined, before finally choosing a pair to buy. What is the total number of pairs of shoes Helga tried on before buying her new shoes? At the second store, she tried on 7+2=<<7+2=9>>9 pairs of shoes. Therefore, at the first three stores, she tried on 7+9+0=<<7+9+0=16>>16 pairs of shoes. At the fourth store, she tried on 16*2=<<16*2=32>>32 pairs of shoes. Thus, in total, she tried on 16+32=<<16+32=48>>48 pairs of shoes. #### 48 Queenie earns $150 a day as a part-time clerk. She earns an additional $5 per hour as overtime pay. How much will Queenie receive for working 5 days with 4 hours overtime? Queenie will earn $150 x 5 = $<<150*5=750>>750 for working 5 days. She will receive an additional $5 x 4 = $<<5*4=20>>20 for overtime pay. Hence, Queenie will receive a total of $750 + $20 = $<<750+20=770>>770. #### 770 Wild Bill can shoot a pistol while riding his horse at full speed. His horse runs at 20 feet per second, and a bullet fired from his gun flies at a speed of 400 feet per second. But if he fires a gun while riding his horse, and the gun is aimed in the same direction that the horse is running, how much faster, in feet per second, is the bullet flying than if he fires the bullet in the opposite direction of what the horse was running? If he fires a bullet in the same direction as the direction that the horse is running, the total speed of the bullet is the sum of the speed the bullet was propelled out of the gun plus the speed of the horse, for a combined speed of 400+20=<<400+20=420>>420 feet per second. If he fires a bullet in the opposite direction as the direction in which the horse is running, then the total speed of the bullet is the speed the bullet was propelled out of the gun minus the speed of the horse, for a resulting speed of 400-20=<<400-20=380>>380 feet per second. Thus, when firing the gun in the same direction as the horse is running, the bullet moves at 420-380=<<420-380=40>>40 feet per second faster than when he fires the bullet in the opposite direction as what the horse is running. #### 40 Amber goes to the store and buys 10 rolls of toilet paper, 7 rolls of paper towels, and 3 boxes of tissues. One roll of toilet paper costs $1.50. One roll of paper towels costs $2. If the total cost of all the items is $35, how much does one box of tissues cost? The total cost of toilet paper is 10 * $1.5 = $<<10*1.5=15>>15 The total cost of paper towels is 7 * $2 = $<<7*2=14>>14 The total cost of tissues is $35 - $15 - $14 = $<<35-15-14=6>>6 The cost of one box of tissues is $6 / 3 = $<<6/3=2>>2. #### 2 Tom finds 10 quarters, 3 dimes, and 4 nickels and 200 pennies. In dollars, how much money did he find? He found 10*.25=$<<10*.25=2.5>>2.5 in quarters He found 3*.1=$<<3*.1=.3>>.3 in dimes He found 4*.05=$<<4*.05=.2>>.2 in nickels He found 200*.01=$<<200*.01=2>>2 in pennies So in total, he found $2.5 + $0.3 + $0.2 + $2 = $<<2.5+0.3+0.2+2=5>>5 #### 5 David is taking a data analytics course that lasts for 24 weeks. The course consists of 2 three-hour classes and 1 four-hour class each week. In addition, David must spend 4 hours each week working on small group homework assignments. How many hours will he spend on this course? Each week, David will spend 3 hours + 3 hours + 4 hours = <<3+3+4=10>>10 hours in class. Add to that his 4 hours of small group work, 4 + 10 = <<4+10=14>>14 hours a week. He will spend 14 hours x 24 weeks = <<14*24=336>>336 hours on the course. #### 336 Rachel is writing an essay. She writes 1 page every 30 minutes. She spends 45 minutes researching the topic. She writes a total of 6 pages. Then she spends 75 minutes editing her essay. Altogether, how many hours did she spend completing the essay? She spends this long researching and editing her essay 45 min + 75 min = <<45+75=120>>120 min. Converting the minutes to hours for researching and editing is 120 / 60 = <<120/60=2>>2 hours. She spends this long writing the essay 6 x 30 min = <<6*30=180>>180 min. Converting the minutes to hours for writing the essay is 180 / 60 = <<180/60=3>>3 hours. The total hours Rachel spends completing the essay is 2 + 3 = <<2+3=5>>5 hours. #### 5 Winston had 10 gallons of gas in his car’s gas tank. He drives to the store and uses 6 gallons of gas. Then he drives to the doctor’s office and uses 2 gallons of gas. If the tank can hold up to 12 gallons of gas, how many gallons of gas will Winston need to refill the entire tank? After driving to the store and doctor’s office, Winston has 10 - 6 - 2 = <<10-6-2=2>>2 gallons of gas left in the tank To refill the entire tank, Winston needs 12 - 2 = <<12-2=10>>10 gallons of gas #### 10 Jackson is buying school supplies for his third grade class, which has 30 students. Each student needs 5 pens, 3 notebooks, 1 binder and 2 highlighters. Pens cost $0.50, notebooks cost $1.25, binders cost $4.25, and highlighters cost $0.75. If Jackson gets a $100 teacher discount, how much does he spend on school supplies? First calculate the cost of the pens for one student by multiplying the number of pens by the cost per pen: 5 pens * $0.50/pen = $<<5*0.5=2.50>>2.50 Then calculate the cost of the notebooks for one student by multiplying the number of notebooks by the cost per notebook: 3 notebooks * $1.25/notebook = $<<3*1.25=3.75>>3.75 Then calculate the cost of the highlighters for one student by multiplying the number of highlighters by the cost per highlighters: 2 highlighters * $0.75/highlighter = $<<2*0.75=1.50>>1.50 Now add the cost of all the different supplies to find the total cost for one student: $2.50 + $3.75 + $1.50 + $4.25 = $<<2.5+3.75+1.5+4.25=12.00>>12.00 Now multiply the cost per student by the number of students to find the total cost before the discount: 30 students * $12.00/student = $<<30*12=360.00>>360.00 Now subtract the teacher discount to find the final cost: $360.00 - $100.00 = $<<360-100=260.00>>260.00 #### 260