The total number of dogs at an animal rescue center is 200. Mr. Tanner, the manager at the rescue center, gets a call that 100 dogs at another rescue center are to be moved because of weather problems. He agrees to bring the dogs to his rescue center, and after one week, gives out 40 animals for adoption. After a month, 60 more dogs were adopted by dog lovers. What's the total number of remaining animals in the adoption center after the last adoptions?
How many dogs are in the rescue center after the 100 dogs are brought in? ** After taking in 100 more dogs, the number of dogs in the rescue center increased to 200+100 = 300.
How many dogs are in the rescue center after the adoptions? ** After a week, the number of dogs was reduced to 300 - 40 =
<<300-40=260>>260 after the adoptions. What's the total number of remaining animals in the adoption center after the last adoptions? ** So, there are 260 - 60 = 200 dogs left after 60 more dogs were adopted. #### 200 Adam owns a wood carving shop, if a block of basswood can create 3 figurines and a block of butternut wood can create 4 figurines, and a block of Aspen wood can make twice the amount of figurines compared to basswood, how many figurines can he make if he owns 15 blocks of basswood, 20 blocks of butternut wood, and 20 blocks of Aspen wood? How many figurines can Adam make out of the blocks of basswood? ** Adam can make 15 x 3 = <<15*3=45>>45 figurines out of the blocks of basswood. How many figurines can Adam make out of a block of Aspen wood? ** He can also make 3 x 2 = <<3*2=6>>6 figurines out of a block of Aspen wood. How many figurines can Adam make out of all the blocks of Aspen wood? ** So, he can make 20 x 6 = <<20*6=120>>120 figurines out of all the blocks of Aspen wood. How many figurines can Adam make out of all the blocks of butternut wood? ** He can also make 20 x 4 = <<20*4=80>>80 figurines out of all the blocks of butternut wood. How many figurines can Adam make using all the blocks of wood? ** Therefore, Adam can make a total of 120 + 80 + 45 = <<120+80+45=245>>245 figurines using all the blocks of wood. #### 245 Ronald wants to make profits by re-selling some phones he bought a week ago. He bought 200 units for just $3000, and he wants to gain a third of the initial investment in profits when all units are sold. Including the profit margin, what will be the selling price for each phone? How much profit does Ronald want? ** The profit Ronald wants is $3000 / 3 = $<<3000/3=1000>>1000 How much profit will each phone make? ** The profit per phone sold will be $1000 / 200 phones = $<<1000/200=5>>5/phone How much does each phone cost? ** The cost of each phone is $3000 / 200 phones = $<<3000/200=15>>15/phone What will be the selling price for each phone? ** The selling price including the profit will be $15/phone + $5/phone = $<<15+5=20>>20 #### 20 There are 14 girls, 11 boys, and their parents at a park. If they split into 3 equally sized playgroups, each group contains 25 people. How many parents were at the park? How many people are in the groups? ** There are 3 groups * 25 people/group = <<3*25=75>>75 people in total. How many children are there? ** There are 14 girls + 11 boys = <<14+11=25>>25 children in total. How many parents were at the park? ** There are 75 people - 25 children = <<75-25=50>>50 parents. #### 50 Tony is driving his car between his town and a friend's down. The towns are 120 miles apart and he gets there in 3 hours. The next day, he is driving to see another friend who lives 200 miles away from his friend. If he drives at the same speed, how long will the drive take? How fast is he driving? ** He is driving 40 MPH because 120 / 3 = <<120/3=40>>40 How long will the drive take? ** It will take him 5 hours because 200 / 40 = <<200/40=5>>5 #### 5 Venny spent $15000 on a used car which cost 40% of the original price. What was the original price of the car? Define a variable ** Let x be the original price of the car. How much did the car cost? ** Then 40% * x = $15000 What was the original price of the car? ** Thus x = $15000 / 0.4 = $<<15000/0.4=37500>>37500 #### 37500 Among the career home run leaders for MLB, Hank Aaron has 175 fewer than twice the number that Dave Winfield has. Hank Aaron hit 755 home runs. How many home runs did Dave Winfield hit in his career? Define a variable ** Let x be the number of home runs Dave Winfield hit. Write an equation ** 755=2x-175 Add 175 to both sides ** 930=2x Divide by 2 ** x=<<465=465>>465 home runs #### 465 A typical tournament of tennis has 4 rounds. There are 8 games in the first round, 4 in the second round, 2 in the third round and 1 during the finals. If each game requires new tennis balls, and on average each game uses 5 cans of tennis balls, how many tennis balls in total are used at the end of the tournament if each can has 3 tennis balls? How many games are there in a typical tournament? ** There are a total of 8+4+2+1 = <<8+4+2+1=15>>15 games of tennis in a typical tournament How many cans of tennis balls are used in total? ** If 1 game uses 5 cans of tennis balls, then 15 games would use 15*5 = 75 cans of tennis balls How many tennis balls are in total? ** If 1 can of tennis balls has 3 balls, then 75 cans would have <<75*3=225>>225 balls #### 225 When Harriett vacuumed the sofa and chair she found 10 quarters, 3 dimes, 3 nickels, and 5 pennies. How much money did Harriett find? How much money did Harriett find? ** She found 10 quarters that are $0.25 each so she found 10*.25 = $<<10*.25=2.50>>2.50 How much money did Harriett find? ** She found 3 dimes that are $0.10 each so she found 3*.10 = $<<3*.10=0.30>>0.30 How much money did Harriett find? ** She found 3 nickels that are $0.05 each so she found 3*.05 = $<<3*.05=0.15>>0.15 How much money did Harriett find? ** She found 5 pennies that are $0.01 each so she found 5*.01 = $<<5*.01=0.05>>0.05 How much money did Harriel find? ** All total she found 2.50+.30+.15+.05 = $3.00 in change #### 3 Charlie owns one flute, two horns, and a harp. Carli owns twice as many flutes as Charlie, half as many horns as Charlie, but no harps. What is the combined total number of musical instruments owned by Charlie and Carli? How many instruments does Charlie own? ** Charlie owns one flute, two horns, and a harp for a total of 1+2+1=<<1+2+1=4>>4 instruments. How many flutes does Carli own? ** Twice as many flutes as Charlie is 2*1=<<2*1=2>>2 flutes, How many horns does Carli own? ** Half as many horns as Charlie is 2/2=<<2/2=1>>1 horn How many instruments does Carli own? ** Thus, Carli owns 2+1=<<2+1=3>>3 instruments. What is the combined total number of musical instruments owned by Charlie and Carli? ** Therefore, the combined total number of musical instruments owned by Charlie and Carli is 4+3=<<4+3=7>>7 instruments. #### 7