Jude is trading his bottle cap collection to Arthur for some of Arthur's matchbox vehicles. Arthur charges Jude 5 bottle caps for a car and 6 bottle caps for a truck. Jude has 100 bottle caps. If he buys 10 trucks and spends 75% of his remaining bottle caps on cars, how many total matchbox vehicles does he buy?

The trucks cost 60 bottle caps because 10 x 6 =

<<10*6=60>>60 He has 40 bottle caps left because 100 - 60 = <<100-60=40>>40 He spends 30 bottle caps on cars because 40 x .75 = <<40*.75=30>>30 He gets 6 cars with this because 30 / 5 = <<30/5=6>>6 He gets 16 vehicles in total because 10 + 6 = <<10+6=16>>16 #### 16 There are 40 students in the 6th grade. 25% of them wear glasses and 40% of them wear contact lenses. How many students do not wear any vision assistance wear? There are 40 x 25% = <<40*25*.01=10>>10 students who wear glasses. There are 40 x 40% = <<40*40*.01=16>>16 students who wear contact lenses. There are 10 + 16 = <<10+16=26>>26 students who wear vision assistance. There are 40 - 26 = <<40-26=14>>14 students who do not wear any vision assistance wear. #### 14 Taipei 101 in Taiwan is 1,673 feet tall with 101 floors. Suppose the first to 100th floors have height each equal to 16.5 feet, how high is the 101st floor? The total height of the first to 100th floor is 100 x 16.5 = <<100*16.5=1650>>1650 feet. Hence, the 101st floor is 1673 - 1650 = <<1673-1650=23>>23 feet high. #### 23 Elsa's hockey team just made the playoffs along with two other teams. They make the playoffs by having the top three highest points for their records. Teams get 2 points for a win, 1 point for a tie, and zero points for a loss. The first-place team has 12 wins and 4 ties. The second-place team has 13 wins and 1 tie. Elsa's team has 8 wins and 10 ties. What is the average number of points for the playoff teams? The teams have 33 total wins because 12 + 13 + 8 = <<12+13+8=33>>33 The teams have 66 points from wins because 33 x 2 = <<33*2=66>>66 The teams have 15 total ties because 4 + 1 + 10 = <<4+1+10=15>>15 The teams have 15 points from ties because 15 x 1 = <<15*1=15>>15 The teams have 81 total points because 66 + 15 = <<66+15=81>>81 The average number of points per team is 27 because 81 / 3 = <<81/3=27>>27 #### 27 Marty and Biff were both running for student council president. A poll was taken to see how the candidate’s campaigns were going. 45% of the people polled said they were voting for Biff and 8% were undecided. The rest said they are voting for Marty. If 200 people were polled, how many said they are voting for Marty? If 45% of people were voting for Biff + 8% were undecided = 53% were not voting for Marty. There were 100 – 53 = <<100-53=47>>47% voting for Marty. If 47% of 200 people were voting for Marty, 0.47 x 200 = <<0.47*200=94>>94 people said they were voting for Marty. #### 94 In January the families visiting a national park see animals 26 times. In February the families that visit the national park see animals three times as many as were seen there in January. Then in March the animals are shyer and the families who visit the national park see animals half as many times as they were seen in February. How many times total did families see an animal in the first three months of the year? Animals were seen 26 times in January and three times as much in February, 26 x 3 = <<26*3=78>>78 times animals were seen in February. In March the animals were seen 1/2 as many times as were seen in February, 78 / 2 = <<78/2=39>>39 times animals were seen in March. If animals were seen 26 times in January + 78 times in February + 39 times in March = <<26+78+39=143>>143 times animals were seen in the first three months of the year. #### 143 There are 400 students in a local high school. 50 percent are freshmen or sophomores. 1/5 of freshmen and sophomores own a pet. How many freshmen and sophomores do not own a pet? Freshman/Sophomores:400(.50)=200 students Have pets:200/5=<<200/5=40>>40 students 200-40=<<200-40=160>>160 do not have pets #### 160 I have purchased 5 blue apples at the store. Suppose my neighbor gives me twice as many yellow apples as I have blue ones, and then I give my son 1/5 of the total number of apples; how many apples do I have now? The number of blue apples is 5, and if you receive twice as many yellow apples as the number of blue apples, there will be 5*2 = <<5*2=10>>10 yellow apples. After receiving the yellow apples, you now have 10 yellow apples+5 blue apples = <<10+5=15>>15 apples. When you give 1/5 of the total number of apples to the son, you part with 1/5*15 = <<1/5*15=3>>3 apples. The total number of apples remaining is 15-3 = <<15-3=12>>12 apples. #### 12 Alice's white water rafting class is composed of 40 students and 10 instructors, including herself. She has 20 life vests on hand. 20% of her students are bringing life vests. How many more life vests will Alice need to get so that entire class has one? 20% of her 40 students will bring their own life vest so .20*40 = <<.20*40=8>>8 students will bring their life vests Alice has 20 life vests and 8 students will bring there's so that's 20+8 = <<20+8=28>>28 life vests There are 40 students and 10 instructors total so that's 40+10 = <<40+10=50>>50 people in the class If there are 28 life vests and she has 50 people then she needs to find 50-28 = 22 more life vests #### 22 Michael saved 5 of his cookies to give Sarah, who saved a third of her 9 cupcakes to give to Michael. How many desserts does Sarah end up with? Sarah saved 1/3 of her 9 cupcakes to give Michael, so she has 2/3 x 9 = <<2/3*9=6>>6 cupcakes left. Michael saves 5 of his cookies for Sarah, which she adds to her 6 cupcakes. Sarah has 5 + 6 = <<5+6=11>>11 desserts. #### 11