Mark is running for an election and wins 70% of the votes in an area with 100,000 voters. He got twice as many total votes in the remaining area. How many votes did he get in total?

He got 100,000*.7=

<<100000*.7=70000>>70,000 votes from the first area He got 70,000*2=<<70000*2=140000>>140,000 votes in the remaining areas So in total he got 140,000+70,000=<<140000+70000=210000>>210,000 votes #### 210,000 Paul uses 1 can of frosting to frost a layer cake. He uses a half can of frosting for a single cake, or a single pan of brownies, or a dozen cupcakes. For Saturday, he needs to have 3 layer cakes, 6 dozen cupcakes, 12 single cakes and 18 pans of brownies ready and frosted for customer pick up. How many cans of frosting will he need? He needs 1 can of frosting per layer cake and he needs to make 3 layer cakes so that's 1*3 = <<1*3=3>>3 cans of frosting There are 6 dozen cupcakes,12 single cakes and 18 pans of brownies for a total of 6+12+18 = <<6+12+18=36>>36 orders Each of the 36 orders needs 1/2 can of frosting so they need 36*.5 = <<36*.5=18>>18 cans of frosting He needs 3 cans of frosting for the layer cakes and 18 cans for the remaining items for a total of 3+18 = <<3+18=21>>21 cans of frosting #### 21 Kevin is taking a 600-mile trip, traveling at a rate of 50 miles per hour. How much faster must he travel to decrease his travel time by 4 hours? First find his current travel time 600 miles / 50 miles per hour = <<600/50=12>>12 hours. 12 hours - 4 hours = <<12-4=8>>8 hours desired travel time 600 miles / 8 hours = <<600/8=75>>75 miles per hour. 75 miles per hour - 50 miles per hour = <<75-50=25>>25 miles per hour faster #### 25 Maurice had only been horseback riding a handful of times in his life. His best friend, Matt, goes horseback riding regularly. When Maurice went to visit Matt for two weeks, he rode another 8 times. Each time, Matt went with him. Meanwhile, besides the times that Matt accompanied Maurice, he rode an additional 16 times. If the total number of times Matt rode during that two weeks is three times the number of times Maurice had ridden before his visit, how many times had Maurice been horseback riding before visiting Matt? During the two weeks, Matt rode a total of 16 times + 8 times = <<16+8=24>>24 times. Before his visit, Maurice had ridden 24 times / 3 = <<24/3=8>>8 times. #### 8 Josephine receives a bill from the hospital for 5000$. 50 percent of the bill is for medication. 25 percent of the remaining bill is for overnight stays, and 175$ is for food. The rest of the bill is for the ambulance ride. How much did the ambulance ride cost? Medication:5000(.50)=2500 Overnight Stays:2500(.25)=625 2500-625=<<2500-625=1875>>1875 Food:1875-175=<<1875-175=1700>>1700$ Ambulance ride:1700$ #### 1700 The number of Christmas presents David found was twice as many as the number of birthday presents. If David found a total of 60 Christmas presents, how many presents did he get all together? The number of birthday presents that David found is 60/2 = <<60/2=30>>30 For his birthday and Christmas, David found a total of 30+60 = <<30+60=90>>90 presents. #### 90 Sally reads 10 pages of a book on weekdays and 20 pages on weekends. If it takes 2 weeks for Sally to finish her book, how many pages that book has? Two weeks has 5*2=<<5*2=10>>10 weekdays. Two weeks has 2*2=<<2*2=4>>4 weekends. On weekdays, she reads 10*10=<<10*10=100>>100 pages in total. On weekends, she reads 20*4=<<20*4=80>>80 pages in total. So the book has 100+80=<<100+80=180>>180 pages. #### 180 Joan collects rocks. In her collection of rock samples, she had half as many gemstones as minerals yesterday. Today, she went on a rock collecting trip and found 6 more mineral samples. If she has 48 minerals now, how many gemstone samples does she have? Yesterday before her rock collecting trip, she had 48 - 6 = <<48-6=42>>42 mineral samples. She has 1/2 the number of gemstones, so she has 42 / 2 = <<42/2=21>>21 gemstone samples. #### 21 Elon has 10 more teslas than Sam who has half the number of teslas as Chris. Chris has 6 teslas. How many teslas does Elon have? Sam has half the number of Chris: 6/2=<<6/2=3>>3 teslas Elon has 10 more than Sam: 10+3=<<10+3=13>>13 teslas #### 13 Yesterday, the newly opened animal shelter received their first 60 animals. They got 20 more cats than dogs. How many cats did they take in? Let c be the number of cats and let d be the number of dogs. We know that c = 20 + d and that the total number of animals is c + d = 60 Replacing c gives 20+ d + d = 60 animals Combining like terms and subtracting 20 from both sides, we get 2d = 40 Dividing both sides by 2, we get d = 40/2 = <<40/2=20>>20 The shelter therefore received 20 + 20 = <<20+20=40>>40 cats #### 40