Frank goes to the store to buy some food. He buys 5 chocolate bars and 2 bags of chips. He hands the cashier $20 and gets $4 back as change. If the chocolate bars each cost $2, how much did each bag of chips cost?
His entire purchase cost $20 - $4 = $
<<20-4=16>>16. The chocolate bars cost 5 * $2 = $<<5*2=10>>10. The bags of chips cost a total of $16 - $10 = $<<16-10=6>>6. Each bag of chips cost $6 / 2 = $<<6/2=3>>3. #### 3 Marnie opens a bag of chips and eats 5 of them to see if she likes them. She does, so she eats 5 more. The bag has 100 chips in it and starting on the second day she has them, Marnie eats 10 each day. How many days does it take for Marnie to eat the whole bag of chips? Marnie has already eaten 5 of the chips + 5 more = <<5+5=10>>10 chips Marnie ate. The bag has 100 chips in it and Marnie has only eaten 10, 100 - 10 = <<100-10=90>>90 chips left. If Marnie eats 10 chips a day starting from the second day she has them, it will take her 90 chips in the bag / 10 chips Marine eats a day = <<90/10=9>>9 days to eat the whole bag. However, Marnie also ate chips on the first day she bought them, so 9 + 1 = <<9+1=10>>10 days to eat the whole bag. #### 10 Sol sells candy bars to raise money for her softball team. On the first day, she sells ten candy bars and sells four more candy bars than she sold the previous day each day afterward. If she sells six days a week and each candy bar costs 10 cents, how much will she earn in a week in dollars? Sol will sell 10 + 4 = <<10+4=14>>14 candies on the second day. She will sell 14 + 4 = <<14+4=18>>18 candies on the third day. She will sell 18 + 4 = <<18+4=22>>22 candies on the fourth day. She will sell 22 + 4 = <<22+4=26>>26 candies on the fifth day. She will sell 26 + 4 = <<26+4=30>>30 candies on the sixth day. She will sell a total of 10 + 14 + 18 + 22 + 26 + 30 = <<10+14+18+22+26+30=120>>120 candies in a week. Hence, she will earn 120 x 10 = <<120*10=1200>>1200 cents. Since 1 dollar is equal to 100 cents, then Sol will earn 1200/100 = $<<1200/100=12>>12 #### 12 The Science museum sells dinosaur models for $100 each. A certain school bought 2 models for the kindergarten library and also bought twice as many for the elementary library. Since the school bought more than 5 models, there was a 5% reduction in price for each model. How much did the school pay in all? The school bought 2 x 2 = <<2*2=4>>4 dinosaur models for the elementary library. So the school bought a total of 2 + 4 = <<2+4=6>>6 models. The price of each model was reduced by $100 x 5/100 = $<<100*5/100=5>>5. Thus, each model cost $100 - $5 = $<<100-5=95>>95. Therefore, the school paid a total of $95 x 6 = $<<95*6=570>>570. #### 570 Andrew's dog has 12 burrs and six times as many ticks as burrs. How many foreign objects total are caught in the dog's fur? First find how many burrs are caught in the dog's fur: 12 burrs * 6 ticks/burr = <<12*6=72>>72 ticks Then add the number of burrs to find the total number objects: 72 objects + 12 objects = <<72+12=84>>84 objects #### 84 Ned opens a left-handed store. He sells left-handed mice. They cost 30% more than normal mice. He sells 25 a day and his store is open every day except Sunday, Thursday, and Friday. If normal mice cost $120 how much money does he make a week? The left-hand mice cost 120*.3=$<<120*.3=36>>36 more than right-handed ones So they cost 120+36=$<<120+36=156>>156 So he makes 156*25=$<<156*25=3900>>3900 a day The store is open 7-3=<<7-3=4>>4 days a week So in a week, he makes 3900*4=$<<3900*4=15600>>15,600 #### 15600 It takes Matt 2 minutes per problem to do his math homework with a calculator and 5 minutes per problem without a calculator. If Matt's assignment has 20 problems, how much time will using a calculator save? First find the time difference per problem: 5 minutes/problem - 2 minutes/problem = <<5-2=3>>3 minutes/problem Then multiply that number by the number of problems to find the total time difference: 3 minutes/problem * 20 problems = <<3*20=60>>60 minutes #### 60 John buys 500 newspapers. Each newspaper sells for $2. He sells 80% of them. He buys them all for 75% less than the price at which he sells them. How much profit does he make? He sells 500*.8=<<500*.8=400>>400 newspapers He sells them for 400*2=$<<400*2=800>>800 He gets a discount of 2*.75=$<<2*.75=1.5>>1.5 on the newspapers So he buys them for 2-1.5=$<<2-1.5=.5>>.5 So he spent 500*.5=$<<500*.5=250>>250 buying them That means he made a profit of 800-250=$<<800-250=550>>550 #### 550 Prejean's speed in a race was three-quarters that of Rickey. If they both took a total of 70 minutes to run the race, calculate the total number of minutes that Rickey took to finish the race. Let's say Rickey took t minutes to finish the race. If Prejean's speed in the race was three-quarters that of Rickey, and Rickey took t minutes to finish the race, the time that Prejean took to finish the race is 3/4*t=3/4t Together, Rickey and Prejean took t+3/4t = 70 They took 1 3/4 t hours=70 to finish the race This is 7/4t=70 t=70*4/7 The time that Rickey took to finish the race is t= <<40=40>>40 minutes #### 40 Abigail thinks she has some lost some money out of her purse. She had $11 in her purse at the start of the day, and she spent $2 in a store. If she now has $3 left, how much money has she lost? After going shopping, Abigail had 11 – 2 = <<11-2=9>>9 dollars left. This means she lost 9 – 3 = <<9-3=6>>6 dollars. #### 6