Angie bought three times as many pretzels at the mall as Shelly did. Shelly bought half as many pretzels as Barry. If Barry bought 12 pretzels, how many did Angie buy?

Shelly bought 12/2=

<<12/2=6>>6 pretzels Angie bought 6*3=<<6*3=18>>18 pretzels #### 18 Angelina is 4 years older than Justin is now. In 5 years, Angelina will be 40 years old. Calculate the age of Justin currently. In five years, Angelina will be 40 years old, meaning currently she is 40-5 = <<40-5=35>>35 years old. Since Angelina is 35 years old right now, and she is four years older than Justin, it means Justin is 35-4 = <<35-4=31>>31 years old. #### 31 Brendan can cut 8 yards of grass per day, he bought a lawnmower and it helped him to cut more yards by Fifty percent per day. How many yards will Brendan be able to cut after a week? The additional yard Brendan can cut after buying the lawnmower is 8 x 0.50 = <<8*0.50=4>>4 yards. So, the total yards he can cut with the lawnmower is 8 + 4 = <<8+4=12>>12. Therefore, the total number of yards he can cut in a week is 12 x 7 = <<12*7=84>>84 yards. #### 84 Carol is an aviation engineer deciding how much fuel to put in a jet. The empty plane needs 20 gallons of fuel per mile. Each person on the plane increases this amount by 3 gallons per mile, and each bag increases it by 2 gallons per mile. If there are 30 passengers and 5 flight crew, and each person brought two bags, how many gallons of fuel does the plane need for a 400-mile trip? First find the total number of people by adding the number of passengers and flight crew: 30 people + 5 people = <<30+5=35>>35 people Then find the total number of bags by doubling the total number of people: 35 people * 2 bags/person = <<35*2=70>>70 bags Then find the fuel increase caused by the people by multiplying their number by the fuel increase per person: 35 people * 3 gallons/mile/person = <<35*3=105>>105 gallons/mile Then multiply the number of bags by the fuel increase per bag to find the total fuel increase they cause: 70 bags * 2 gallons/mile/bag = <<70*2=140>>140 gallons/mile Now add the fuel increases to the base fuel consumption to find the total fuel needed per mile: 140 gallons/mile + 105 gallons/mile + 20 gallons/mile = <<140+105+20=265>>265 gallons/mile Now multiply the fuel consumption per mile by the number of miles flown to find the total amount of fuel needed: 265 gallons/mile * 400 miles = <<265*400=106000>>106,000 gallons of fuel #### 106000 Yolanda leaves home for work at 7:00 AM, riding her bike at 20 miles per hour. 15 minutes after she leaves, her husband realizes that she forgot her lunch, and jumps in the car to bring it to her. If he drives at 40 miles per hour and follows the exact same route as Yolanda, how many minutes will it take him to catch her? Let x be the number of minutes it takes Yolanda's husband to catch her. We know that Yolanda will spend a total of x + 15 minutes riding her bike since she left 15 minutes before her husband. The distance each person travels is equal to their travel speed times the number of minutes they spend traveling. That means Yolanda's distance is equal to 20 mph * (x + 15) and her husband's distance is equal to 40 mph * x Yolanda's husband catches up to her when they've both traveled the same distance, which is when 20(x + 15) = 40x We can simplify this equation by multiplying 20 through the parentheses to get 20x + 300 = 40x Then we can subtract 20x from each side to get 300 = 20x Finally, we divide both sides by 20 to find that x = 15. #### 15 Village Foods sells good food at a fair price. Their specialty is fresh vegetables. If they get 500 customers per month, and each customer purchases 2 heads of lettuce for $1 each and 4 tomatoes for $0.5 apiece, then how much money, in dollars, will the store receive in sales of lettuce and tomatoes per month? 2 heads of lettuce at $1 apiece is 2*$1=$<<2*1=2>>2. 4 tomatoes at $0.50 apiece is 4*$0.5=$<<4*0.5=2>>2. Thus, each customer purchases $2+$2=$<<2+2=4>>4 in lettuce and tomatoes per month. Therefore, if 500 customers per month spend $4 on lettuce and tomatoes, then the store will receive $4*500=$<<4*500=2000>>2000 per month on sales of lettuce and tomatoes. #### 2000 Sam shared a sum of money between his three cousins Sandra, Amy and Ruth in the ratio 2:1:3 respectively. If Amy got $50, how much did Sandra get? Going by the ratio, for every 1 part that Amy gets, Sandra will get 2 parts Since Amy got $50, Sandra will get 2*$50 = $<<2*50=100>>100 #### 100 John builds a model rocket that can travel 500 ft in the air. He builds a second rocket that can travel twice as high. What is the combined height of the two rockets? The second rocket goes 500*2=<<500*2=1000>>1000 feet So the total height is 500+1000=<<500+1000=1500>>1500 feet #### 1500 Scarlet saved $80 to spend on jewelry. She bought a pair of earrings that cost $23. Then, she bought a necklace that cost $48. How much of her savings have left? Scarlet spent $23 + $48 = $<<23+48=71>>71 for the jewelry. So, She was left with $80 - $71 = $<<80-71=9>>9 on her savings. #### 9 Anya has 4 times as many erasers as Andrea. If Andrea has 4 erasers, how many more erasers does Anya have than Andrea? Anya has 4 x 4 = <<4*4=16>>16 erasers. Thus, Anya has 16 - 4 = <<16-4=12>>12 more erasers than Andrea. #### 12