Eddie is 92 years old. His granddaughter Becky is currently four times younger than he is. The mother of Becky - Irene, is two times her age. How old is Irene?

How old is Becky? ** Becky is four times younger than Eddie, which means she is 92 / 4 =

<<92/4=23>>23 years old. How old is Irene? ** Her mother is two times older than she, so it means Irene is 23 * 2 = <<23*2=46>>46 years old. #### 46 A water tower that serves four neighborhoods around it holds 1200 barrels of water and is filled to the top each week. If one neighborhood uses 150 barrels of water in a week, the second neighborhood uses twice as many barrels of water as the first neighborhood in a week, and the third neighborhood uses one hundred more barrels of water than the second neighborhood in a week, how many barrels are left for the fourth neighborhood? How many barrels of water does the second neighborhood use? ** The second neighborhood uses 150 * 2 = <<150*2=300>>300 barrels of water. How many barrels of water does the third neighborhood use? ** The third neighborhood uses 300 + 100 = <<300+100=400>>400 barrels of water. How many barrels of water do the first, second, and third neighborhoods use together? ** The first, second, and third neighborhoods together use 150 + 300 + 400 = <<150+300+400=850>>850 barrels of water. How many barrels of water are left for the fourth neighborhood? ** Thus, the fourth neighborhood has 1200 - 850 = <<1200-850=350>>350 barrels of water left for it to use. #### 350 In a math test, Mark scored twice as much as the least score. If the highest score is 98 and the range of the scores is 75, what was Mark's score? How many points are between the highest and the least score? ** The range of scores is the difference between the highest and the least score so 75 = 98 - least score How many points is the least score? ** Then the least score = 98-75 = <<98-75=23>>23 How many points did Mark score? ** Mark scored twice as much as the least score which is 2*23 = <<2*23=46>>46 #### 46 Tom, Tim, and Paul are collecting photos of cars. Paul has 10 photos more than Tim. Tim has one hundred photos less than the total amount of photos which is 152. How many photos does Tom have? How many photos does Tim have? ** Tim has 152 photos - 100 photos = <<152-100=52>>52 photos. How many photos does Paul have? ** When Tim has 52 photos, then Paul has 52 + 10 photos = <<52+10=62>>62 photos. How many photos do Tim and Paul have together? ** Tim and Paul have together 52 photos + 62 photos = <<52+62=114>>114 photos. How many photos does Tom have? ** That leaves Tom with 152 photos - 114 photos = <<152-114=38>>38 photos. #### 38 The Reptile House at the zoo has 5 fewer animals than 3 times the number of animals housed in the Rain Forest exhibit. If the Reptile House has 16 animals, how many are in the Rain Forest exhibit? Define a variable ** Let x be the number of animals in the Rain Forest exhibit Write an equation ** 3x-5=16 Simplify ** 3x=21 Divide by 3 ** x=<<7=7>>7 #### 7 James turned 23 the same time John turned 35. Tim is 5 years less than twice John's age. If Tim is 79 how old is James? How old is James? ** James is 35-23=<<35-23=12>>12 years younger than John How old is James? ** 5 years less than Tim's age is 79-5=74 years old How old is John? ** So John is 74/2=<<74/2=37>>37 years old How old is James? ** That means James is 37-12=<<37-12=25>>25 years old #### 25 Jane plans on reading a novel she borrows from her friend. She reads twice a day, once in the morning and once in the evening. In the morning she reads 5 pages and in the evening she reads 10 pages. If she reads at this rate for a week, how many pages will she read? How many pages does Jane read in a day? ** The number of pages Jane reads in a day is 5 in the morning and 10 in the evening, so she reads 10 + 5 = <<10+5=15>>15 pages in a day. How many pages does Jane read in a week? ** If she reads for a week she reads for 7 days, so by the end of the week she reads 15 * 7 = <<15*7=105>>105 pages. #### 105 Seth and his brother want to see their favorite band in concert. The tickets are $50.00 each. There is a 15% processing fee for the tickets. They are also charged $10.00 for parking and an additional $5.00 per person entrance fee. How much will it cost to go to the concert? How much are the tickets? ** The tickets are $50.00 each and they need 2 tickets so that's 50*2 = $<<50*2=100.00>>100.00 How much is the processing fee? ** There is a 15% processing fee for the tickets so that's 100*.15 = $<<100*.15=15.00>>15.00 How much are the tickets and the processing fee? ** The tickets are $100.00 and the processing fee is $15.00 for a total of 100+15 = $<<100+15=115.00>>115.00 How much is the entrance fee? ** There is a $5.00 per person entrance fee and there are 2 people so that's 5*2 = $<<5*2=10.00>>10.00 How much will it cost to go to the concert? ** The tickets are $115.00, parking is $10.00 and the entrance fee is $10.0 for a total of 115+10+10 = $<<115+10+10=135.00>>135.00 #### 135 New York is two-thirds as populated as all of New England. If New England has 2100000 people, calculate the combined population of both states. How many people live in New York? ** New York is two-thirds as populated as all of New England, meaning there are 2/3*2100000 = <<2/3*2100000=1400000>>1400000 people living in New York. How many people live in New York and New England? ** The combined population of both states is 1400000+2100000 = <<1400000+2100000=3500000>>3500000 #### 3500000 Maria is chopping up vegetables for a stew. She wants to cut up six times as many carrots as potatoes, twice as many onions as carrots, and 1/3 as many green beans as onions. If she has two potatoes, how many green beans does she need to cut? How many carrots does Maria need to cut? ** First find how many carrots Maria needs to cut by multiplying the number of potatoes by 6: 6 * 2 = <<6*2=12>>12. How many onions does Maria need to cut? ** Then find how many onions she needs by multiplying the number of carrots by 2: 12 * 2 = <<12*2=24>>24. How many green beans does Maria need to cut? ** Finally, divide the number of onions by 3 to find the number of green beans she needs 24 / 3 = <<24/3=8>>8. #### 8