Michael has 4 packs of crayons and wants to buy 2 more. One pack of crayons costs $2.5. How much are all the packs of crayons Michael will have after the purchase worth?

How many packs of crayons will Michael have after buying 2 more? ** After buying 2 more packs, Michael is going to have 4 packs + 2 packs =

<<4+2=6>>6 packs of crayons. How much are all the packs of crayons Michael will have after the purchase worth? ** In total all packs are going to be worth 6 packs * $2.5/pack = $<<6*2.5=15>>15. #### 15 Tom Sawyer has tricked his friends into whitewashing Aunt Polly's 100-foot fence. His first friend, Ben, whitewashed 10 feet. His second friend Billy whitewashed a fifth of the remaining fence. A third friend, Johnny, whitewashed a third of the fence that was left after that. How much of the fence still needs to be whitewashed? How many feet of fence are left after Ben is done? ** It's a 100-foot fence, and Ben whitewashed 10 feet, so there are 100 - 10 = <<100-10=90>>90 feet left after Ben is done. How many feet of fence did Billy whitewash? ** Billy whitewashed a fifth of that, or 90 / 5 = <<90/5=18>>18 feet. How many feet of fence are left? ** There is now 90 - 18 = <<90-18=72>>72 feet of fence left. How many feet of fence does Johnny whitewash? ** Johnny whitewashes a third of that, or 72 / 3 = <<72/3=24>>24 feet. How many feet of fence are left to be whitewashed? ** That leaves 72 - 24 = <<72-24=48>>48 feet of fence left to be whitewashed. #### 48 A vampire needs to suck 7 gallons of blood per week to survive. If he sucks 2 pints of blood per person, how many people does he need to suck each day to survive? How many gallons of blood does a vampire need to consume each day? ** Each day it needs to consume 7/7=<<7/7=1>>1 gallon of blood How many pints are in a gallon? ** There are 128/16=<<128/16=8>>8 pints per gallon How many people does a vampire need to suck each day? ** So he needs to suck blood from 8/2=<<8/2=4>>4 people per day #### 4 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? How many pretzels did Shelly buy? ** Shelly bought 12/2=<<12/2=6>>6 pretzels How many pretzels did Angie buy? ** 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. How old is Angelina currently? ** In five years, Angelina will be 40 years old, meaning currently she is 40-5 = <<40-5=35>>35 years old. How old is Justin currently? ** 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? How many yards can Brendan cut after buying the lawnmower? ** The additional yard Brendan can cut after buying the lawnmower is 8 x 0.50 = <<8*0.50=4>>4 yards. How many yards can Brendan cut after buying the lawnmower? ** So, the total yards he can cut with the lawnmower is 8 + 4 = <<8+4=12>>12. How many yards will Brendan be able|endoftext|>|endoftext|>|endoftext|>|endoftext|>|endoftext|>|endoftext|>|endoftext|>| ** 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? How many people are on the plane? ** 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 How many bags are on the plane? ** Then find the total number of bags by doubling the total number of people: 35 people * 2 bags/person = <<35*2=70>>70 bags How many gallons of fuel does each person increase the plane by? ** 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 How many gallons of fuel does each bag increase the plane by? ** 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 How many gallons of fuel does the plane need per 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 How many gallons of fuel does the plane need for a 400-mile trip? ** 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? Define a variable ** Let x be the number of minutes it takes Yolanda's husband to catch her. How many minutes will Yolanda spend riding her bike? ** We know that Yolanda will spend a total of x + 15 minutes riding her bike since she left 15 minutes before her husband. How far will each person travel? ** 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 Write an equation ** Yolanda's husband catches up to her when they've both traveled the same distance, which is when 20(x + 15) = 40x Simplify ** We can simplify this equation by multiplying 20 through the parentheses to get 20x + 300 = 40x Simplify ** Then we can subtract 20x from each side to get 300 = 20x Simplify ** 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? How much does each head of lettuce cost? ** 2 heads of lettuce at $1 apiece is 2*$1=$<<2*1=2>>2. How much does each tomato cost? ** 4 tomatoes at $0.50 apiece is 4*$0.5=$<<4*0.5=2>>2. How much money does each customer spend on lettuce and tomatoes? ** Thus, each customer purchases $2+$2=$<<2+2=4>>4 in lettuce and tomatoes per month. How much money will the store receive in sales of 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? How many parts does Sandra get? ** Going by the ratio, for every 1 part that Amy gets, Sandra will get 2 parts How much money does Sandra get? ** Since Amy got $50, Sandra will get 2*$50 = $<<2*50=100>>100 #### 100