Christopher, Jameson, and June each bought a toy sword. June's sword is 5 inches longer than Jameson's sword. Jameson's sword is 3 inches longer than twice the length of Christopher's sword. Christopher's sword is 15 inches long. How many inches longer is June's sword than Christopher's sword?

Twice the length of Christopher's sword is 15 x 2 =

<<15*2=30>>30 inches. So, Jameson's sword is 30 + 3 = <<30+3=33>>33 inches long. June's sword is 33 + 5 = <<33+5=38>>38 inches long. Thus, June's sword is 38 - 15 = <<38-15=23>>23 inches longer than Christopher's sword. #### 23 Ben took his family fishing yesterday. Ben caught 4 fish, his wife Judy caught 1 fish, his oldest son Billy caught 3, his younger son Jim caught 2, and his youngest child Susie surprised them all by catching 5! Unfortunately, 3 of the fish were too small, so they threw them back. If each fish will give them 2 filets, how many fish filets will Ben and his family have? Ben's family caught 4 + 1 + 3 + 2 + 5 = <<4+1+3+2+5=15>>15 fish. They kept 15 - 3 = <<15-3=12>>12 fish. They'll get 2 filets per fish, so they will have 12 fish * 2 filets per fish = <<12*2=24>>24 filets. #### 24 Sadie has 140 math homework problems for the week. 40 percent are Algebra problems, and half of the Algebra problems are solving linear equations. How many solving linear equations problems does Sadie have to solve? Algebra:140(.40)=56 problems Linear:56/2=<<56/2=28>>28 problems #### 28 Samuel took 30 minutes to finish his homework while Sarah took 1.3 hours to finish it. How many minutes faster did Samuel finish his homework than Sarah? Since there are 60 minutes in 1 hour, then 1.3 hours is equal to 1.3 x 60 = <<1.3*60=78>>78 minutes. Thus, Samuel is 78 – 30 = <<78-30=48>>48 minutes faster than Sarah. #### 48 Ben makes a sandwich that has 1250 calories total that has two strips of bacon with 125 calories each. What percentage of the sandwich's total calories come from bacon? First find the total number of calories in the bacon: 125 calories + 125 calories = <<125+125=250>>250 calories Then divide the number of bacon calories by the total number of calories and multiply by 100% to express the answer as a percentage: 250 calories / 1250 calories * 100% = 20% #### 20 John and James decided to have a dance-off. John danced for 3 hours and then another 5 hours after taking a 1-hour break. James danced the whole time John was dancing and resting, and then another 1/3 times more hours. How long was their combined dancing time without including John's break time? John dances 3+5=<<3+5=8>>8 hours John's total time is 3+5+1=<<3+5+1=9>>9 hours James dances 9/3=<<9/3=3>>3 hours longer than that So James dances 9+3=<<9+3=12>>12 hours So the total dancing time is 8+12=<<8+12=20>>20 hours #### 20 Cindy and Olaf made 15 candied apples which they will be selling for $2 each, and 12 candied grapes which they will be selling for $1.5. How much will they earn if they sell everything? They will earn 15 x $2 = $<<15*2=30>>30 for the candied apples. They will earn 12 x $1.5 = $<<12*1.5=18>>18 for the candied grapes. Therefore, Cindy and Olaf will earn $30 + $18 = $<<30+18=48>>48 if they sell everything. #### 48 Mike gets paid 100 dollars a week. He decides to spend half of that at an arcade. He spends 10 dollars at the arcade on food and uses the rest on arcade tokens. He can play for 1 hour for $8. How many minutes can he play? He spent 100*.5=$<<100*.5=50>>50 at the arcade. He uses 50-10=$<<50-10=40>>40 on tokens He can play 40/8=<<40/8=5>>5 hours There are 60 minutes in an hour so he can play 5*60=<<5*60=300>>300 minutes #### 300 John buys 3 different coolers. The first one is 100 liters. The second is 50% bigger than that and the third is half the size of the second. How much total water can they hold? The second cooler is 100*.5=<<100*.5=50>>50 liters bigger than the first So it is 100+50=<<100+50=150>>150 liters The third is 150/2=<<150/2=75>>75 liters So the total water they can hold is 100+150+75=<<100+150+75=325>>325 liters #### 325 The total for the sum and product of Elvie's age and Arielle's age are 131. If Elvie's age is 10, how old is Arielle? Let's say Arielle's age is x The sum of Elvie's age and Arielle's age is 10+x The product of their ages is 10*x The total for the sum and product of their ages is 10+x+10*x = 131 To find Ariel's age, we evaluate x, which is 10+11x = 131 This gives us a total of 11x=121 Arielle's age is x=121/11 The value of x, which is Arielles's age, is 11 #### 11