By the time Anne is two times as old as Emile, Emile will be six times as old as Maude. If Maude will be 8 years old, how old will Anne be?

How old will Emile be? ** If Maude's age is 8 by the time Anne's age is four times Emile's age, Emile will be six times as old as Maude, which totals 6*8 = 48 years.

How old will Anne be? ** If Emile's age is 48 years old by the time Anne's age is twice her number, Anne will be 2*48 =

<<48*2=96>>96 years. #### 96 Ravi has some coins. He has 2 more quarters than nickels and 4 more dimes than quarters. If he has 6 nickels, how much money does he have? How many quarters does Ravi have? ** Ravi has 6 + 2 = <<6+2=8>>8 quarters. How many dimes does Ravi have? ** He has also 8 + 4 = <<8+4=12>>12 dimes. How much are Ravi's nickels? ** A nickel is worth 5 cents so Ravi's nickels amount to 6 x 5 = <<6*5=30>>30 cents. How much are Ravi's quarters? ** A quarter is worth 25 cents so his quarters amount to 8 x 25 = <<8*25=200>>200 cents. How much are Ravi's dimes? ** A dime is worth 10 cents so his dimes amount to 12 x 10 = <<12*10=120>>120 cents. How much money does Ravi have? ** therefore, Ravi has 30 + 200 + 120 = <<30+200+120=350>>350 cents. #### 350 Lisa is looking to attempt a World Record. She has decided to try and match Joey Chestnut's record of eating 75 full hotdogs, buns included, in 10 minutes. Halfway through the time Lisa has eaten 20 hotdogs. How many hotdogs will she have to eat per minute to at least tie Joey Chestnut's record? How many hotdogs does Lisa need to eat to tie Joey Chestnut's record? ** Joey Chestnut ate 75 hotdogs to claim the record and Lisa has eaten 20 hot dogs so far, so she still needs to eat 75-20=<<75-20=55>>55 hotdogs to tie Joey Chestnut. How many minutes does Lisa have left? ** Lisa has a 10 minute time period to eat the hotdogs and half the time has already passed, which means Lisa has 10/2=<<10/2=5>>5 minutes left until the competition is over. How many hotdogs does Lisa need to eat per minute to at least tie Joey Chestnut's record? ** If she needs to eat 55 hotdogs to tie Joey Chestnut and there are 5 minutes left in the competition period then she needs to eat 55/5=<<55/5=11>>11 hot dogs per minute to have a chance of tying for a win. #### 11 A car uses 20 gallons of gas to travel 400 miles. Mr. Montero's car has 8 gallons in it. How many more gallons of gas does he need to travel 600 miles, back and forth? How many miles does Mr. Montero travel? ** Mr. Montero is traveling a total distance of 600 miles + 600 miles = <<600+600=1200>>1200 miles. How many sets of 400 miles are there? ** There are 1200 miles / 400 miles = <<1200/400=3>>3 sets of 400 miles in 1200 miles. How many gallons of gas does Mr. Montero need? ** So Mr. Montero needs 20 gallons/set x 3 sets = <<20*3=60>>60 gallons in all. How many more gallons of gas does he need? ** Since his car has 8 gallons already, then he needs to add 60 gallons - 8 gallons = <<60-8=52>>52 gallons more. #### 52 Mira jogs every morning. She jogs 5 miles per hour. If she jogs for 2 hours every morning, how many miles can she jog for five days? How many miles does Mira jog every day? ** Mira jogs 5 x 2 = <<5*2=10>>10 miles per day. How many miles can Mira jog for five days? ** Therefore she can jog 10 x 5 = <<10*5=50>>50 miles for 5 days. #### 50 Bekah had to read 408 pages for history class. She read 113 pages over the weekend and has 5 days left to finish her reading. How many pages will she need to read each day for 5 days to complete her assignment? How many pages are left to read? ** Pages left to read: 408 - 113 = <<408-113=295>>295 pages How many pages will Bekah need to read each day? ** 295/5 = <<295/5=59>>59 pages How many pages will Bekah need to read each day? ** Bekah needs to read 59 pages each day. #### 59 Andy and Bob went to the canteen to buy snacks. They spent the same amount. Andy bought a can of soda at $1 and two hamburgers at $2 each. Bob ordered two sandwiches for $3 and a can of fruit drink. How much did Bob's fruit drink cost? How much did Andy's hamburgers cost? ** Two hamburger cost 2 x $2 = $<<2*2=4>>4. How much did Andy spend? ** So, Andy spent $1 + $4 = $<<1+4=5>>5. How much did Bob's fruit drink cost? ** Therefore, Bob's fruit drink cost $5 - $3 = $<<5-3=2>>2. #### 2 A library cabinet houses five ancient scrolls. The first scroll is 4080 years old. If each scroll is older than the last by half as many years as the last scroll’s age, how old is the fifth scroll? How old is the second scroll? ** The second scroll is 4080 + 4080 / 2 = 4000 + 2040 = <<4080+4080/2=6120>>6120 years old. How old is the third scroll? ** The third scroll is 6120 + 6120 / 2 = 6120 + 3060 = <<6120+6120/2=9180>>9180 years old. How old is the fourth scroll? ** The fourth scroll is 9180 + 9180 / 2 = 9180 + 4590 = <<9180+9180/2=13770>>13770 years old. How old is the fifth scroll? ** The fifth scroll is 13770 + 13770 / 2 = 13770 + 6885 = <<13770+13770/2=20655>>20655 years old. #### 20655 A washing machine uses 20 gallons of water for a heavy wash, 10 gallons of water for a regular wash, and 2 gallons of water for a light wash per load of laundry. If bleach is used, there is an extra light wash cycle added to rinse the laundry thoroughly. There are two heavy washes, three regular washes, and one light wash to do. Two of the loads need to be bleached. How many gallons of water will be needed? How many gallons of water will the two heavy washes use? ** The two heavy washes will use 20 * 2 = <<20*2=40>>40 gallons of water. How many gallons of water will the three regular washes use? ** The three regular washes will use 10 * 3 = <<10*3=30>>30 gallons of water. How many gallons of water will the light wash use? ** The light wash will use 2 * 1 = <<2*1=2>>2 gallons of water. How many gallons of water will the two bleached loads use? ** The two bleached loads will use an extra 2 * 2 = <<2*2=4>>4 gallons of water. How many gallons of water will be needed? ** In all, 40 + 30 + 2 + 4 = <<40+30+2+4=76>>76 gallons of water will be needed. #### 76 There are 32 tables in a hall. Half the tables have 2 chairs each, 5 have 3 chairs each and the rest have 4 chairs each. How many chairs in total are in the hall? How many tables are half of the total? ** Half of 32 tables is 32*(1/2) = <<32*(1/2)=16>>16 tables How many chairs are on the 16 tables? ** 16 tables have 2 chairs each for a total of 16*2 = <<16*2=32>>32 chairs How many chairs are on the 5 tables? ** 5 tables have 3 chairs each for a total of 5*3 = <<5*3=15>>15 chairs How many tables are left? ** There are 32-(16+5) = <<32-(16+5)=11>>11 tables left How many chairs are on the 11 tables? ** 11 tables have 4 chairs each for a total of 11*4 = <<11*4=44>>44 chairs How many chairs are in the hall? ** The total number of chairs is 32+15+44 = <<32+15+44=91>>91 chairs #### 91