If 100 pieces, each 15 centimeters long, are cut from a 51-meter long ribbon, how much ribbon remains ?
The total length cut from the 51-meter ribbon is 100 x 15 centimeters =
<<100*15=1500>>1500 centimeters. Since 1 meter is equal to 100 centimeters, then 1500 centimeters is equal to 1500/100 = <<1500/100=15>>15 meters. Therefore, 51 - 15 = <<51-15=36>>36 meters of ribbon remains. #### 36 A church has 100 members who've volunteered to bake cookies for the homeless in their local town. If each member baked 10 sheets of cookies, and each sheet has 16 cookies, calculate the total number of cookies the church members baked? A sheet has 16 cookies, so if each church member baked 10 sheets, they each baked 10 sheets/person * 16 cookies/sheet = <<10*16=160>>160 cookies/person The total number of church members who decided to volunteer is 100, so in total, they baked 160 cookies/person * 100 people = <<100*160=16000>>16000 cookies #### 16000 Milly's babysitter charges $16/hour. Milly is considering switching to a new babysitter who charges $12/hour, but also charges an extra $3 for each time the kids scream at her. If Milly usually hires the babysitter for 6 hours, and her kids usually scream twice per babysitting gig, how much less will the new babysitter cost? First figure out how much the first babysitter costs by multiplying her hourly rate by the number of hours she works: $16/hour * 6 hours = $<<16*6=96>>96 Then use the same method to figure out how much the second babysitter charges before any screaming: $12/hour * 6 hours = $<<12*6=72>>72 Then figure out how much the babysitter charges for two screams: 2 screams * $3/scream = $<<2*3=6>>6 Finally, subtract the second babysitter's two charges from the first babysitter's total charge to find the difference: $96 - $72 - $6 = $<<96-72-6=18>>18 #### 18 The cost of transporting 80 bags of cement, each weighing 50 kgs, is $6000. What's the cost of transporting three times as many cement bags, each weighing 3/5 times as many kgs? Three times as many cement bags is 3*80 = <<3*80=240>>240 cement bags. If a bag of cement weighs 50 kg, 3/5 times as much weight is 3/5*50 = <<3/5*50=30>>30 kgs. If the cost of transporting 80 bags of cement, each weighing 50 kgs, is $6000, the cost of transporting one bag of cement weighing 50 kg is $6000/80 = $<<6000/80=75>>75 Since a bag weighing 50 kgs costs $75 to transport, a bag weighing 30 kgs will cost 30* $75/50 = $<<30*75/50=45>>45 to transport. The cost of transporting 240 cement bags each weighing 30 kgs is $45*240 = $<<45*240=10800>>10800 #### 10800 Mark has two dozen eggs to split with his three siblings. How many eggs does each person get to eat if they all eat the same amount? There are 24 eggs because 2 x 12 = <<2*12=24>>24 There are four eaters because 1 + 3 = <<1+3=4>>4 They get 6 eggs each because 24 / 4 = <<24/4=6>>6 #### 6 Jason's dog has a tail that's half the length of its body, and a head that's 1/6 the length of its body. If the dog is 30 inches long overall, how long is its tail? If b is the length of the body, h is the length of the head, and t is the length of the tail, we know that b + h + t = 30, h = b/6 and t = b/2. We can substitute the second two equations into the first equation to get b + b/6 + b/2 = 30 Now multiply both sides of this equation by 6: 6b + b + 3b = 180 Now combine like terms: 10b = 180 Now divide both sides by 10: b = 180. The dog's body is 18 inches long. Now divide that length by 2 to find the length of its tail: 18 inches / 2 = <<18/2=9>>9 inches #### 9 A computer factory produces 1500 computers per day. They sell each computer for $150. If they sold 1 week's worth of production, how much money will the company earn? One week has 7 days. The number of computers produced in 1 week is 1500 * 7 = <<1500*7=10500>>10500 computers. The total amount earned selling 1 week of production is 10500 * 150 = $<<10500*150=1575000>>1575000. #### 1,575,000 On a Sunday morning, Josephine sold milk in the farm stall. The buyers brought their containers. She filled three containers with two liters each, two containers with 0.75 liters each, and five containers with 0.5 liters each. How many liters of milk did Josephine sell in total? Josephine filled a total of 2 x 3 = <<2*3=6>>6 liters from the three containers with two liters each. She filled a total of 0.75 x 2 = <<0.75*2=1.5>>1.5 liters from the two containers with 0.75 liters each. She filled a total of 0.5 x 5 = <<0.5*5=2.5>>2.5 liters from the five containers with 0.5 liters each. Therefore, she sold a total of 6 + 1.5 + 2.5 = <<6+1.5+2.5=10>>10 liters of milk. #### 10 Sarah buys 20 pencils on Monday. Then she buys 18 more pencils on Tuesday. On Wednesday she buys triple the number of pencils she did on Tuesday. How many pencils does she have? By adding together Monday and Tuesday, Saah has 20+18= <<20+18=38>>38 pencils On Wednesday, she buys 3 * 18= <<3*18=54>>54 pencils All together, Sarah has 38+54= <<38+54=92>>92 pencils #### 92 Malik rushed for 18 yards in each of 4 games. Josiah ran for 22 yards in each of 4 games. Darnell had an average of 11 yards rushed for each of the 4 games. How many yards did the 3 athletes run in total? Malik = 18 * 4 = <<18*4=72>>72 yards Josiah = 22 * 4 = <<22*4=88>>88 Darnell = 11 * 4 = <<11*4=44>>44 yards Total yards = 72 + 88 + 44 = <<72+88+44=204>>204 yards The 3 athletes ran 204 yards. #### 204