A group of six friends planned to buy a car. The cost of the car is $1700 and they plan to share the cost equally. They had a car wash to help raise funds, which would be taken out of the total cost. The remaining cost would be split between the six friends. At the car wash, they earn $500. However, Brad decided not to join in the purchase of the car. How much more does each friend have to pay now that Brad isn't participating?
Start by finding the total that is left, $1700 car price - $500 earned at car wash = $
<<1700-500=1200>>1200 remaining. So the six friends should pay $1200 / 6 people = $<<1200/6=200>>200 each. Since Brad is not joining, then the 5 friends have to split Brad's share which is $200/5 = $<<200/5=40>>40 each. #### 40 John's camera broke so he decided to rent one for 4 weeks. It was a $5000 camera and the rental fee was 10% of the value per week. His friend who was there when it broke agreed to pay 40% of the rental fee. How much did John pay? The rental fee is 5000*.1=$<<5000*.1=500>>500 per week So it cost 500*4=$<<500*4=2000>>2000 His friend pays 2000*.4=$<<2000*.4=800>>800 So he pays 2000-800=$<<2000-800=1200>>1200 #### 1200 At peak hours, 11 am - 1 pm and 5 pm - 6 pm, the local fast-food restaurant serves 12 cars every 15 minutes. Off-peak times, they serve 8 cars every 15 minutes. From 4 pm - 6 pm, how many customers do they serve? 5 pm-6 pm is one hour and they measure service in 15-minute blocks so 60/15 = <<60/15=4>>4 15 min blocks At peak times, they serve 12 cars every 15 minutes so they serve 12*4 = <<12*4=48>>48 cars in 60 minutes Off peak times, 4pm-5 pm, they serve 8 cars every 15 minutes so they serve 8*4 = <<8*4=32>>32 cars in 60 minutes From 4pm-5 pm they serve 32 cars and from 5pm-6 pm they serve 48 cars so they serve 32+48 = 80 cars #### 80 Andrew installed hardwood flooring in his house. His bedroom took eight wooden planks, his living room took twenty planks, and his kitchen took eleven planks. The guest bedroom took two fewer planks than Andrew’s bedroom, and each of his two hallways took four planks. He accidentally ruined three planks in each bedroom by dragging furniture over them and had to replace them. He ended up with six leftover planks at the end. How many wooden planks did Andrew buy to start with? Andrew’s guest bedroom took 8 - 2 = <<8-2=6>>6 wooden planks. His hallways took 2 * 4 = <<2*4=8>>8 planks. In two bedrooms, he ruined 3 planks each, so the bedrooms took an extra 3 * 2 = <<3*2=6>>6 planks. In all, he used 8 + 20 + 11 + 6 + 8 + 6 = <<8+20+11+6+8+6=59>>59 planks for his whole house. Andrew had 6 leftover planks, so he bought 59 + 6 = <<6+59=65>>65 wooden planks to start with. #### 65 Frankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he have in total? He has 6 - 2 = <<6-2=4>>4 cats. He has 4 - 1 = <<4-1=3>>3 parrots. He has 4 + 6 = <<4+6=10>>10 snakes. He has a total of 2 + 4 + 3 + 10 = <<2+4+3+10=19>>19 pets. #### 19 At the Greene Nursery, there are 1491 red roses, 3025 yellow carnations, and 1768 white roses. How many flowers are at the Greene Nursery in total? 1491 + 3025 = <<1491+3025=4516>>4516 4516 + 1768 = <<4516+1768=6284>>6284 There are 6284 flowers at the Greene Nursery. #### 6284 Jeff was driving to the capital city to attend a conference. At first, he was driving at 80 miles/hour for about 6 hours, then the speed limit changed and he had to slow down to 60 miles/hour, and so he drove at this speed for 4 hours. Then he made a stop at a gas station. Once the car was full of gas, he drove at 40 miles/hour the rest of the trip for 2 hours. How many miles did he travel? In the first stretch he drove 80 miles/hour x 6 hours = <<80*6=480>>480 miles In the second stretch he drove 60 miles/hour x 4 hours = <<60*4=240>>240 miles After the gas station he drove 40 miles/hour x 2 hours = <<40*2=80>>80 miles In total he drove 480 miles + 240 miles + 80 miles = <<480+240+80=800>>800 miles #### 800 There are 10 students in a class. The average age of 9 of them is 8 years. By how many years will this average increase if the tenth student is (quite strangely) 28 years old? 9 students have an average age of 8 years so the sum of their ages is 9*8 = <<9*8=72>>72 years A tenth student who is 28 years old will make the sum 72+28 = 100 years The new average age will be 100/10 = <<100/10=10>>10 years This is 10-8 = <<10-8=2>>2 years higher than the previous average. #### 2 Jerry takes 2 antacids that weigh 2 grams each and are 5% zinc by weight. Then he takes three more smaller antacids that weigh 1 gram each and have 15% zinc. How many milligrams of zinc does he eat? First find the total weight of the big antacids: 2 grams/antacid * 2 antacids = <<2*2=4>>4 grams Then convert that weight to milligrams: 4 grams * 1000 mg/gram = <<4*1000=4000>>4000 mg Then multiply that number by 5% to find how much zinc is in the big antacids: 4000 mg * 5% = <<4000*5*.01=200>>200 mg Then find the total weight of the smaller antacids in milligrams: 3 antacids * 1 gram/antacid * 1000 mg/gram = <<3*1*1000=3000>>3000 mg Then multiply that number by the percent of zinc to find the amount of zinc in the small antacids: 3000 mg * 15% = 450 mg Then add the zinc Jerry gets from each set of pills to find the total amount of zinc he eats: 450 mg + 200 mg = <<450+200=650>>650 mg #### 650 Tom weighs 150 kg. He manages to hold 1.5 times his weight in each hand while wearing a weight vest weighing half his weight. How much total weight was he moving with? He was carrying 150*1.5=<<150*1.5=225>>225 kg in each hand So he had 225*2=<<225*2=450>>450 kg in his hands The weight vest weighed 150*.5=<<150*.5=75>>75 kg So he had a total of 450+75=<<450+75=525>>525 kg he was moving #### 525