Jack, who weighs 60 pounds, wants to play on the see-saw with his cousin Anna, who weighs 40 pounds. How many 4-pound rocks does Jack need to hold to make their weights equal?

How much does Jack weigh? ** First find the total difference in weight between the two people: 60 pounds - 40 pounds =

<<60-40=20>>20 pounds How many rocks does Jack need? ** Then divide the weight difference by the weight of each rock to find the number of rocks need to even the weights: 20 pounds / 4 pound/rock = <<20/4=5>>5 rocks #### 5 In a basketball game, Tobee scored 4 points. Jay scored 6 more than Tobee and Sean scored 2 less than the points of Tobee and Jay together. If Tobee, Jay, and Sean are on the same team, how many points did they score for their team? How many points did Jay score? ** Jay scored 4 + 6 = <<4+6=10>>10 points. How many points did Tobee and Jay score together? ** Together, Tobee and Jay scores 4 + 10 = <<4+10=14>>14 points. How many points did Sean score? ** So, Sean scored 14 - 2 = <<14-2=12>>12 points. How many points did Tobee, Jay, and Sean score for their team? ** Thus, Tobee, Jay, and Sean scored a total of 4 + 10 + 12 = <<4+10+12=26>>26 points for their team. #### 26 In the jar, there are 7 blue marbles, 11 red marbles, and some yellow marbles. If the chance of randomly picking a yellow marble is 1/4, how many yellow marbles are there? Define a variable ** Let y be the number of yellow marbles How many total marbles are there? ** There are 11+7+y=18+y total marbles. Write an equation ** y/(18+y)=1/4. Cross multiply ** 4y=18+y Subtract y ** 3y=18 Divide by 3 ** y=6 How many yellow marbles are there? ** There are 6 yellow marbles. #### 6 Daisy’s milk cow provides 16 cups of milk per day. 75% of the milk is consumed by Daisy’s kids. Daisy uses 50% of the remaining milk to cook with. How much milk is left over? How many cups of milk do the kids drink? ** The cow provides 16 cups of milk per day and the kids consume 75% so they drink 16*.75 = <<16*.75=12>>12 cups of milk How many cups of milk are left? ** The cow provides 16 cups of milk and the kids drink 12 cups leaving 16-12 = <<16-12=4>>4 cups of milk How many cups of milk does Daisy use? ** Daisy uses 50% of the remaining 4 cups of milk to cook with so she uses .50*4 = <<50*.01*4=2>>2 cups of milk How many cups of milk are left? ** She had 4 cups of milk and used 2 cups to cook with so that leaves 4-2 = <<4-2=2>>2 cups of milk #### 2 The coach of a football team asked his players to do six laps of the field. The field is in the shape of a rectangle of length 100 m and width 50 m. What is the distance each player will run, in meters? How many meters is one lap? ** One lap corresponds to the perimeter of a rectangle of 100 m length and 50 m width: 2*100 + 2 *50 = <<2*100+2*50=300>>300 metres. How many meters does each player run? ** Each player has to do six turns of the field, so runs 6*300 = <<6*300=1800>>1800 meters. #### 1800 Joan has 2 hours to get all her music practice done. She spends 30 minutes on the piano, 25 minutes writing music on her computer, and 38 minutes reading about the history of the piano. Her final work is to use a special finger exerciser. How much time does she have left to use this? How many minutes does Joan have? ** She has 120 minutes to practice because 2 x 60 = <<2*60=120>>120 How many minutes has Joan spent? ** She has already spent 93 minutes on her work because 30 + 25 + 38 = <<30+25+38=93>>93 How many minutes does Joan have left? ** She has 27 minutes to use on finger exercise because 120-93 = <<120-93=27>>27 #### 27 Bess and Holly are playing Frisbee at the park. Bess can throw the Frisbee as far as 20 meters and she does this 4 times. Holly can only throw the Frisbee as far as 8 meters and she does this 5 times. Each time Bess throws a Frisbee, she throws it back to her original position. Holly leaves her Frisbee where it lands every time she throws it. In total, how many meters have the thrown Frisbees traveled? How far does Bess throw the Frisbee? ** Bess throws the Frisbee out 4 times * 20 meters each time = <<4*20=80>>80 meters. How far does Bess throw the Frisbee back? ** She then throws it back which doubles the distance traveled to 80 meters * 2 = <<80*2=160>>160 meters. How far does Holly throw the Frisbee? ** Holly throws the Frisbee out 5 times * 8 meters = <<5*8=40>>40 meters. How far have the thrown Frisbees traveled? ** So in total, Holly and Bess have thrown the Frisbees 160 + 40 = <<160+40=200>>200 meters. #### 200 Your mom bought a refrigerator and a washing machine. Note that the price of the refrigerator is $4275 and the price of the washing machine is $1490 less than the price of the refrigerator. Calculate the total price of the purchases in dollars. How much does the washing machine cost? ** The price of the washing machine is $4275 - $1490 = $<<4275-1490=2785>>2785. How much does the refrigerator and washing machine cost together? ** The total price of the purchases is $4275 + $2785 = $<<4275+2785=7060>>7060. #### 7060 Myrtle’s 3 hens lay 3 eggs a day. She would be gone for 7 days and told her neighbor to take as many as they would like. The neighbor took 12 eggs. Once home, Myrtle collected the remaining eggs, dropping 5 on the way into her house. How many eggs does Myrtle have? How many eggs do the hens lay? ** She has 3 hens that lay 3 eggs a day so they lay 3*3 = <<3*3=9>>9 eggs a day How many eggs did the hens lay? ** The hens lay 9 eggs a day and she wasn't able to collect them for 7 days so that means there are 9*7 = <<9*7=63>>63 eggs How many eggs did the neighbor take? ** Her neighbor took 12 off the 63 eggs so that leaves 63-12 = <<63-12=51>>51 eggs How many eggs does Myrtle have? ** Myrtle dropped 5 of the remaining 51 eggs so she has 51-5 = <<51-5=46>>46 eggs #### 46 A restaurant is offering a fundraiser one day where they donate $2 for every $10 donated by customers. The average customer donates 3 and there are 40 customers that day. How much does the restaurant donate? How much did the customers donate? ** Customer donated a total of $120 because 40 x 3 = <<40*3=120>>120 How many times did the customers donate? ** They got $10 a total of 12 times because 120 / 10 = <<120/10=12>>12 How much did the restaurant donate? ** They donated $24 because 12 x 2 = <<12*2=24>>24 #### 24