Dan spent $32 buying a new backpack, 1 pack of pens, 1 pack of pencils and 5 multi-subject notebooks for school. If the backpack costs $15 and both the pens and pencils cost $1.00 each, how much did each notebook cost?

The pens and pencils were $1.00 each so 2*1 = $

<<2*1=2.00>>2.00 The back pack cost $15 and the pens/pencils cost $2.00 so 15+2 = $<<15+2=17.00>>17.00 His total spent was $32 and he has already spend $17 so 32-17 = $<<32-17=15.00>>15.00 That means he has $15 left to spend on 5 notebooks so the cost would be 15/5 = $<<15/5=3.00>>3.00 each #### 3 Leo and Agrey went fishing. Agrey caught 20 more fish than Leo. If Leo caught 40 fish, what's the total number of fish they caught together? Agrey caught 40+20 = <<40+20=60>>60 fish. The total number of fish they caught is 60+40 = <<60+40=100>>100 fish. #### 100 Julio makes a mocktail every evening. He uses 1 tablespoon of lime juice and tops with 1 cup of sparkling water. He can usually squeeze 2 tablespoons of lime juice per lime. After 30 days, if limes are 3 for $1.00, how much will he have spent on limes? He uses 1 tablespoon of lime juice per drink so over 30 days that's 1*30 = <<1*30=30>>30 tablespoons of lime juice He can get 2 tablespoons of lime juice per lime and he will use 30 tablespoons of lime juice so he will need 30/2 = 15 limes The limes are 3 for $1.00 and he needs 15 limes so that's 15/3 = $5.00 #### 5 An archer needs to practice. He intends to shoot 200 shots 4 days a week. He is able to recover 20% of his arrows. The arrows he uses cost $5.5 per arrow. His team agrees to pay for 70% of the cost of his arrows. How much does he spend for arrows a week? He shoots 200*4=<<200*4=800>>800 shots per week He can recover 800*.2=<<800*.2=160>>160 of those arrows So he uses 800-160=<<800-160=640>>640 arrows a week The cost for those arrows would come out to 640*5.5=$<<640*5.5=3520>>3520 per week His team pays for 3520*.7=$<<3520*.7=2464>>2464 of that So he has to pay 3520-2464=$<<3520-2464=1056>>1056 per week for arrows #### 1056 Jimmy is at the candy store and buys 2 candy bars for $.75 each. He then buys 4 lollipops that cost $.25 each. He spent 1/6 of the money he earned from shoveling snow. If he charges $1.5 per driveway, how many driveways did he shovel? Jimmy spent $1.5 on candy bars because 2 x .75 = <<2*.75=1.5>>1.5 He spent $1 on lollipops because 4 x .25 = <<4*.25=1>>1 He spent $2.5 in total because 1.5 + 1 = <<1.5+1=2.5>>2.5 He earned $15 shoveling driveways because 2.5 / (1/6) = <<2.5/(1/6)=15>>15 He shoveled 10 driveways because 15 / 1.5 = <<15/1.5=10>>10 #### 10 Tobias went to a swimming pool for 3 hours. Swimming every 100 meters took him 5 minutes, but every 25 minutes he had to take a 5-minute pause. How many meters did Tobias swim during his visit to the swimming pool? We need to count the sequences that Tobias made, which consist of 25 minutes of swimming and a 5-minute pause, so one sequence lasts for 25 minutes + 5 minutes = <<25+5=30>>30 minutes/sequence. Three hours is 3 hours * 60 minutes/hour = 180 minutes, so he is able to make 180 minutes / 30 minutes/sequence = <<180/30=6>>6 sequences. Therefore Tobias needs to make 6 pauses within these 6 sequences, which will last for 6 pauses * 5 minutes/pause = <<6*5=30>>30 minutes. During three hours, he is going to swim for 180 minutes - 30 minutes = <<180-30=150>>150 minutes. Therefore Tobias can make 100 meters for 150 minutes / 5 minutes/100 meters = 3 times. So he was able to swim 30 times * 100 meters/time = <<30*100=3000>>3000 meters in total. #### 3000 Enrico owns a rooster farm, he sells each rooster for $0.50 per kilogram. He was able to sell a 30-kilogram rooster and a 40-kilogram rooster, how much money was he able to earn? Enrico was able to sell the 30-kilogram rooster for 30 x 0.50 = $<<30*0.50=15>>15. And he was able to sell the 40-kilogram rooster for 40 x 0.50= $<<40*0.50=20>>20. Therefore, he was able to earn $20 + $15 = $<<20+15=35>>35. #### 35 Carlos bought a box of 50 chocolates. 3 of them were caramels and twice as many were nougats. The number of truffles was equal to the number of caramels plus 6. The rest of the chocolates were peanut clusters. If Carlos picks a chocolate at random, what is the percentage chance it will be a peanut cluster? First find the number of nougats by doubling the number of caramels: 3 caramels * 2 nougats/caramel = <<3*2=6>>6 nougats Then find the number of truffles by adding 7 to the number of caramels: 3 caramels + 6 = <<3+6=9>>9 truffles Then find the number of peanut clusters by subtracting the number of each other chocolate from the total number of chocolates: 50 chocolates - 3 caramels - 6 nougats - 9 truffles = <<50-3-6-9=32>>32 peanut clusters Finally, divide the number of peanut clusters by the total number of chocolates and multiply by 100% to find the percentage chance he gets a peanut cluster: 32 peanut clusters / 50 chocolates *100% = 64% #### 64 Annie is building a diorama for her history class. The amount of time she spent building it is equal to three times the amount of time she spent planning it minus 5 minutes. If she spent 67 minutes on the diorama total, how many minutes did she spend building it? Let p be the planning time in minutes and b be the building time. We know that b = 3p - 5 and b + p = 67 Substituting the first equation into the second equation, we get 3p - 5 + p = 67 Combining like terms, we get 4p - 5 = 67 Adding 5 to both sides, we get 4p = 72 Dividing both sides by 4, we get p = 18 Substituting this value into b = 3p - 5, we find that b = 3 * 18 - 5 = <<3*18-5=49>>49 #### 49 James has 20 pairs of red socks and half as many black socks. He has twice as many white socks as red and black combined. How many total socks does he have combined? He has 20/2=<<20/2=10>>10 black socks So he has 20+10=<<20+10=30>>30 black and red socks So he has 30*2=<<30*2=60>>60 white socks So he has 60+30=<<60+30=90>>90 total socks #### 90