Kyle is 5 years older than Julian. Julian is 20 years younger than Frederick. Frederick is 2 times older than Tyson. If Tyson is 20, how old is Kyle?

How old is Frederick? ** Frederick is 20 * 2 =

<<20*2=40>>40 years old How old is Julian? ** Julian is 40 - 20 = <<40-20=20>>20 years old How old is Kyle? ** Kyle is 20 + 5 = <<20+5=25>>25 years old #### 25 Teddy has 7 dogs and 8 cats. Ben has 9 more dogs than Teddy, and Dave has 13 more cats and 5 less dogs than Teddy. How many pets do all of them have combined? How many pets does Teddy have in total? ** Teddy has 7+8 = <<7+8=15>>15 pets in total. How many pets does Ben have in total? ** Ben has 9+7 = <<9+7=16>>16 dogs, which means he has 16 pets in total. How many cats does Dave have? ** Dave has 13+8 = <<13+8=21>>21 cats. How many dogs does Dave have? ** Dave has 7-5 = <<7-5=2>>2 dogs. How many pets does Dave have in total? ** Dave has 21+2 = <<21+2=23>>23 pets in total. How many pets do Teddy, Ben, and Dave have combined? ** Combined, they have 15+16+23 = <<15+16+23=54>>54 pets in total. #### 54 Carrie wants to buy a new iPhone. The new iPhone costs $800. She can trade in her Samsung Galaxy for $240. She can make $80 per week babysitting. How many weeks does she have to work before she can purchase the iPhone? How much will the iPhone cost? ** The total cost of the iPhone will cost Carrie $800 - $240 = $<<800-240=560>>560. How many weeks does she have to work before she can purchase the iPhone? ** It will take her $560 / $80 = <<560/80=7>>7 weeks to earn enough money. #### 7 Javier is an Olympic javelin thrower. In the last Olympics, he threw the javelin three times. The first throw, he threw the javelin twice as far as he threw the javelin on his second throw, but only half as far as he threw it the third throw. If the sum of all three throws was 1050 meters, then how far, in meters, did he throw the javelin on his first throw? Define a variable ** Let x be the distance he threw the javelin on the first throw. Write an equation ** Thus, the sum of his three throws is x+0.5x+2x=1050 meters. Simplify ** Thus, 3.5x=1050. Divide by 3.5 ** And we find the distance he threw the javelin on the first throw is x=<<300=300>>300 meters. #### 300 Lavinia’s daughter is 10 years younger than Katie’s daughter. Lavinia’s son is 2 times the age of Katie’s daughter. If Katie’s daughter is 12 years old, how many years older is Lavinia’s son than Lavinia’s daughter? How old is Lavinia’s daughter? ** Lavinia’s daughter is 12 - 10 = <<12-10=2>>2 years old How old is Lavinia’s son? ** Lavinia’s son is 12 * 2 = <<12*2=24>>24 years old How many years older is Lavinia’s son than Lavinia’s daughter? ** Lavinia’s son is 24 - 2 = <<24-2=22>>22 years older than Lavinia’s daughter. #### 22 An auto shop has a part that Clark needs for $80. Clark buys 7 of them and got a discount. If Clark only had to pay $439, how much was the discount? What would the full cost of the parts be? ** Originally the car parts would be a total of 80*7 = <<80*7=560>>560 dollars. How much was the discount? ** Clark got a discount for 560-439 = <<560-439=121>>121 dollars. #### 121 Kylie makes 10 beaded necklaces on Monday and 2 beaded necklaces on Tuesday. Then Kylie makes 5 beaded bracelets and 7 beaded earrings on Wednesday. 20 beads are needed to make one beaded necklace. 10 beads are needed to make one beaded bracelet. 5 beads are needed to make one beaded earring. How many beads does Kylie use in total to make her jewelry? How many beaded necklaces does Kylie make? ** Kylie makes 10 + 2 = <<10+2=12>>12 beaded necklaces How many beads are used for the necklaces? ** The number of beads used for the necklaces is 12 * 20 = <<12*20=240>>240 beads How many beads are used for the bracelets? ** The number of beads used for the bracelets is 5 * 10 = <<5*10=50>>50 beads How many beads are used for the earrings? ** The number of beads used for the earrings is 7 * 5 = <<7*5=35>>35 beads How many beads does Kylie use in total to make her jewelry? ** The total number of beads used is 240 + 50 + 35 = <<240+50+35=325>>325 beads #### 325 Nick has 35 quarters. 2/5 of the quarters are state quarters, and 50 percent of the state quarters are Pennsylvania. How many Pennsylvania state quarters does Nick have? How many state quarters does Nick have? ** State quarters:35(2/5)=14 quarters How many Pennsylvania state quarters does Nick have? ** Pennsylvania:14(.50)=7 quarters #### 7 Henrietta is repainting her house. The walls in the living room take up 600 square feet. She has three bedrooms. The walls in each bedroom take up 400 square feet. If one gallon of paint can cover 600 square feet, how many gallons of paint does Henrietta need to paint her house? How many square feet are in the three bedrooms? ** The total square footage from the three bedrooms is 3 * 400 = <<3*400=1200>>1200 square feet. How many square feet are in the house? ** The total square footage of the house is 1200 + 600 = <<1200+600=1800>>1800 square feet How many gallons of paint does Henrietta need to paint her house? ** Henrietta needs 1800 / 600 = <<1800/600=3>>3 gallons of paint #### 3 The math questions in a contest are divided into three rounds: easy, average, and hard. There are corresponding points given for each round. That is 2, 3, and 5 points for every correct answer in the easy, average, and hard rounds, respectively. Suppose Kim got 6 correct answers in the easy; 2 correct answers in the average; and 4 correct answers in the difficult round, what are her total points in the contest? How many points did Kim get in the easy round? ** Kim got 6 points/round x 2 round = <<6*2=12>>12 points in the easy round. How many points did Kim get in the average round? ** She got 2 points/round x 3 rounds = <<2*3=6>>6 points in the average round. How many points did Kim get in the difficult round? ** She got 4 points/round x 5 rounds = <<4*5=20>>20 points in the difficult round. What is Kim's total points? ** So her total points is 12 points + 6 points + 20 points = <<12+6+20=38>>38 points. #### 38