Andy harvests all the tomatoes from 18 plants that have 7 tomatoes each. If he dries half the tomatoes and turns a third of the remainder into marinara sauce, how many tomatoes are left?

How many tomatoes are harvested? ** First find the total number of tomatoes harvested: 18 plants * 7 tomatoes/plant =

<<18*7=126>>126 tomatoes How many tomatoes are left undried? ** Then divide that number by 2 to find how many tomatoes are left undried: 126 tomatoes / 2 = <<126/2=63>>63 tomatoes How many tomatoes are turned into sauce? ** Then divide that number by 3 to find how many tomatoes are turned into sauce: 63 tomatoes / 3 = <<63/3=21>>21 tomatoes How many tomatoes are left? ** Then subtract that number from the number of undried tomatoes to find the remaining number of tomatoes: 63 tomatoes - 21 tomatoes = <<63-21=42>>42 tomatoes #### 42 Jack is on the phone with a scammer who says the IRS will arrest Jack if he doesn't send them the codes from 6 $500 Best Buy gift cards and 9 $200 Walmart gift cards. After sending the codes for 1 Best Buy gift card and 2 Walmart gift cards, Jack wises up and hangs up. How many dollars' worth of gift cards can he still return? How many Best Buy gift cards does Jack need to return? ** First find the number of Best Buy gift cards Jack needs to return: 6 cards - 1 cards = <<6-1=5>>5 cards How much money does Jack get from Best Buy? ** Then multiply that number by the cost per card to find the total refund Jack gets from Best Buy: 5 cards * $500/card = $<<5*500=2500>>2500 How many Walmart gift cards does Jack need to return? ** Then find the number of Walmart gift cards Jack needs to return: 9 cards - 2 cards = <<9-2=7>>7 cards How much money does Jack get from Walmart? ** Then multiply that number by the cost per card to find the total refund Jack gets from Walmart: 7 cards * $200/card = $<<7*200=1400>>1400 How much money does Jack get in total? ** Then add the two refunds to find his total refund amount: $2500 + $1400 = $<<2500+1400=3900>>3900 #### 3900 Luna's monthly food budget is equal to 60% of her house rental budget while her phone bill budget is 10% of her food budget. If the total budget of house rental and food budget is $240, how much is Luna's total monthly budget to pay all those expenses? Define a variable ** Let x be Luna's house rental budget. Write an equation ** The total budget for house and food rental is represented by the equation x + (60x/100) = 240. Simplify ** The equation becomes 100x + 60x = 24000 after multiplying each term by 100 to get rid of the fraction. Combine like terms ** By combining like terms, the equation becomes 160x = 24000. How much is Luna's house rental budget? ** Thus, the value of x is 24000/160 = <<24000/160=150>>150 which represents the house rental budget. How much is Luna's food budget? ** So, Luna's food budget is $240 - $150 = $<<240-150=90>>90. How much is Luna's phone bill budget? ** Her phone bill budget is $90 x 10/100 = $<<90*10/100=9>>9. What is Luna's total monthly budget? ** Therefore, Luna's monthly budget for all those expenses is $240 (house and food) + $9 (phone) = $<<240+9=249>>249. #### 249 The student council sells scented erasers in the morning before school starts to help raise money for school dances. The local bookstore donated 48 boxes of erasers. There are 24 erasers in each box. If the student council sells the erasers for $0.75 each, how much money will they make? How many erasers are there? ** There are 48 boxes x 24 erasers = <<48*24=1152>>1,152 erasers. How much money will the student council make? ** The student council will make 1,152 erasers x $0.75 = $<<1152*0.75=864>>864. #### 864 Betty is 60 years old, and she is the oldest person in the family. Her daughter is 40 percent younger than she is, and her granddaughter is one-third her mother's age. How old is the granddaughter? How old is Betty's daughter? ** Betty's daughter is 40/100 * 60 = <<40/100*60=24>>24 years younger than she is. How old is Betty's daughter? ** That means her daughter is 60 - 24 = <<60-24=36>>36 years old. How old is Betty's granddaughter? ** So the granddaughter is 1/3 * 36 = <<1/3*36=12>>12 years old. #### 12 Joy fosters dogs. The mom foster dog eats 1.5 cups of food, three times a day. The puppies each eat 1/2 cup of food, twice a day. There are 5 puppies. How much food will Joy need for the next 6 days? How many cups of food does the mom dog eat? ** The mom dog eats 1.5 cups of food * 3 = <<1.5*3=4.5>>4.5 cups per day. How many cups of food will the mom dog need for the next 6 days? ** For 6 days the mom dog will need 6 * 4.5 cups = <<6*4.5=27>>27 cups of food. How many cups of food do the puppies eat? ** The puppies eat 1/2 cup of food * 2 = <<1/2*2=1>>1 cup per day. How many cups of food do the puppies eat? ** There are 5 puppies * 1 cup = <<5*1=5>>5 cups per day for the puppies. How many cups of food will the puppies need for the next 6 days? ** For the 6 days, the puppies will need 5 cups * 6 = <<5*6=30>>30 cups of food. How many cups of food will the dogs need for the next 6 days? ** Combined the dogs will need 27 cups + 30 cups = <<27+30=57>>57 cups. #### 57 There are 84 people waiting in line to ride a roller coaster at an amusement park.  The roller coaster has 7 cars, and each car seats 2 people.  How many times will the ride operator have to run the roller coaster to give everyone in line a turn? How many people will each run hold? ** Each run will hold 7 * 2 = <<7*2=14>>14 people. How many times will the ride have to run? ** The ride will have to run 84 / 14 = <<84/14=6>>6 times. #### 6 Rodney has 35 dollars more than Ian. Ian has half as much money as Jessica has. If Jessica has 100 dollars, how much more money does Jessica have than Rodney? How much money does Ian have? ** Ian has 100/2 = <<100/2=50>>50 dollars. How much money does Rodney have? ** Rodney has 50+35 = <<50+35=85>>85 dollars. How much more money does Jessica have than Rodney? ** Jessica has 100-85 = <<100-85=15>>15 more dollars than Rodney. #### 15 Tracy, Michelle, and Kati take a road trip that is a total of 1000 miles. Tracy drives 20 miles more than twice Michelle, and Michelle drives 3 times the amount that Katie drives. How many miles does Michelle drive? Define a variable ** Let x represent the number of miles Kati drives How many miles does Michelle drive? ** Michelle:3x How many miles does Tracy drive? ** Tracy:20+2(3x)=20+6x Write an equation ** Total:x+3x+20+6x=1000 Combine like terms ** 10x+20=1000 Subtract 20 ** 10x=980 Divide by 10 ** x=<<98=98>>98 miles How many miles does Michelle drive? ** 3(98)=<<3*98=294>>294 miles #### 294 Dale owns 4 sports cars. The red one can travel at twice the speed of the green one, but the green one can travel at 8 times the speed of the blue one. The yellow one is broken and cannot move at all. If the blue one can travel at a speed of 80 miles per hour, at what speed, in miles per hour, can the red car travel? How fast can the green car travel? ** If the blue car can travel at 80 mph, then the green one can travel at 8*80=<<8*80=640>>640 mph How fast can the red car travel? ** If the green car can travel at 640 mph, then the red can travel at 2*640=1280 mph #### 1280