There are 322 voters in District 1. District 2 has 19 less voters than District 3. District 3 has twice as many voters as District 1. How many total voters are in Districts 1 - 3?

There are 322 voters in District 1. District 2 has 19 less voters than District 3. District 3 has twice as many voters as District 1. How many total voters are in Districts 1 - 3?

How many voters are in District 1? ** D1 =

<<322=322>>322 How many voters are in District 3? ** D3 = 2 * 322 = <<2*322=644>>644 How many voters are in District 2? ** D2 = 644 - 19 = <<644-19=625>>625 How many total voters are in Districts 1 - 3? ** 322 + 625 + 644 = <<322+625+644=1591>>1591 How many total voters are in Districts 1 - 3? ** There are 1591 voters in Districts 1 - 3. #### 1591 In the Oprah Winfrey High School marching band, each trumpet and clarinet player carries 5 pounds of weight, each trombone player carries 10 pounds of weight, each tuba player carries 20 pounds of weight, and each drum player carries 15 pounds of weight. If there are 6 trumpets, 9 clarinets, 8 trombones, 3 tubas, and 2 drummers, how much weight does the total marching band carry? How many players are there? ** First find the total number of clarinet and trumpet players: 6 players + 9 players = <<6+9=15>>15 players How much weight do the trumpets and clarinets carry? ** Then find the total weight of the trumpets and clarinets: 15 players * 5 pounds/player = <<15*5=75>>75 pounds How much weight do the trombones carry? ** Then find the total weight of the trombones: 8 players * 10 pounds/player = <<8*10=80>>80 pounds How much weight do the tubas carry? ** Then find the total weight of the tubas: 3 players * 20 pounds/player = <<3*20=60>>60 pounds How much weight do the drummers carry? ** Then find the total weight of the drummers: 2 drummers * 15 pounds/player = <<2*15=30>>30 pounds How much weight does the total marching band carry? ** Then add the weight of each type of instrument to find the total weight: 75 pounds + 80 pounds + 60 pounds + 30 pounds = <<75+80+60+30=245>>245 pounds #### 245 Ellen is baking bread. It takes 3 hours to rise 1 ball of dough, and then another 2 hours to bake it. If she makes 4 balls of dough one after another and then bakes them one after another when they're done rising, how many hours will it take? How many hours does it take to rise all balls of dough? ** Ellen takes 4*3=<<4*3=12>>12 hours in total to rise all balls of dough. How many hours does it take to bake each one? ** It will take 4*2=<<4*2=8>>8 more hours to bake each one. How many hours will it take to make all of the bread? ** It will take her 12+8=<<12+8=20>>20 hours to make all of the bread. #### 20 Kaylee needs to sell 33 boxes of biscuits. So far, she has sold 12 boxes of lemon biscuits to her aunt, 5 boxes of chocolate biscuits to her mother, and 4 boxes of oatmeal biscuits to a neighbor. How many more boxes of biscuits does Kaylee need to sell? How many boxes of biscuits have been sold? ** The number of boxes already sold is 12 + 5 + 4 = <<12+5+4=21>>21. How many more boxes of biscuits does Kaylee need to sell? ** Kaylee needs to sell 33 − 21 = 12 more boxes. #### 12 Every time she goes to the store, Felicity gets a lollipop. After she finishes them, she uses the sticks to build a fort. The fort needs 400 sticks to finish it. Her family goes to the store three times a week and she always goes. If the fort is 60% complete, how many weeks has Felicity been collecting lollipops for? How many sticks does the fort need? ** She has 240 sticks because 400 x .6 = <<400*.6=240>>240 How many weeks has Felicity been going to the store? ** She has been going to the store for 80 weeks because 240 / 3 = <<240/3=80>>80 #### 80 Jim is wondering how many miles each gallon of gas gets him. His gas tank is 12 gallons. He has 2/3 of a tank left after he drives to and from work, which is 10 miles away from his house. How many miles per gallon does he get? How many gallons did Jim use? ** He used 1/3 of his tank because 1 - (2/3) = 1/3 How many gallons did Jim use? ** He used 4 gallons of gas because 12 x (1/3) = <<12*(1/3)=4>>4 How many miles did Jim drive? ** He drove 20 miles because 2 x 10 = <<2*10=20>>20 How many miles per gallon does Jim get? ** He gets 5 miles per gallon because 20 / 4 = <<20/4=5>>5 #### 5 The length of the straight part of a river is three times shorter than the crooked part. If the river is 80 miles long, how long is the straight part of the river? Define a variable ** Let's say the river's length in the straight part of the river is x. Write an equation ** The total length of the river is the length of the straight part plus 3 times the length of the straight part for the crooked part, which is x+3x = 80 Combine like terms ** The total length of the river is 4x=80 How long is the straight part of the river? ** The straight part of the river is x=80/4 = <<80/4=20>>20 miles. #### 20 Jimmy is setting up a garden. He has three plots: one plot for green beans, one plot for carrots, and one plot for corn. Each corn plant produces 5 times as many servings of veggies as each carrot, and each green bean plant produces half as many servings as each corn plant. If each carrot produces 4 servings of vegetables, and each plot has 9 plants, how many servings of vegetables is Jimmy growing? How many servings does each carrot produce? ** First, find how many servings one corn plant produces by multiplying the number of carrot servings by 5: 4 servings * 5 = <<4*5=20>>20 servings How many servings does each corn plant produce? ** Then find how many servings one green bean plant produces by dividing the number of corn servings by two: 20 servings / 2 = <<20/2=10>>10 servings How many servings does each carrot plant produce? ** Now multiply the number of servings per carrot plant by the number of carrot plants: 4 servings/plant * 9 plants = <<4*9=36>>36 servings How many servings does each corn plant produce? ** Do the same for corn: 20 servings/plant * 9 plants = <<20*9=180>>180 servings How many servings does each green bean plant produce? ** And do the same for green beans: 10 servings/plant * 9 plants = <<10*9=90>>90 servings How many servings does Jimmy grow? ** Now add up the servings for all three types of plant: 36 servings + 180 servings + 90 servings = <<36+180+90=306>>306 servings #### 306 Tenisha had 40 dogs that she kept at home as pets. If 60% of them are female, and 3/4 of the female gives birth to 10 puppies each, calculate the total number of puppies that Tenisha remains with after donating 130 puppies to the church. How many female dogs does Tenisha have? ** If Tenisha has 40 dogs, the number of female dogs is 60/100*40 = 24 How many female dogs give birth to puppies? ** 3/4 of the females give birth, meaning 3/4*24 = <<3/4*24=18>>18 female dogs gives birth to puppies. How many puppies were born? ** Since each dog that gave birth had 10 puppies, the number of puppies that were born is 18*10 = <<18*10=180>>180 How many puppies did Tenisha remain with after donating 130 puppies to the church? ** After donating 130 puppies to the church, Tenisha remained with 180-130 = 50 puppies. #### 50 Jeremy loves to play Scrabble. He once played a three-letter word on a triple word score to earn thirty points. If before the word score was tripled, the first and third letters were each valued at one point apiece, how much was the middle letter valued at before the word score was tripled? How many points was the word score before tripling? ** Since the word score after being tripled was 30 points, then the word score before tripling was 30/3=<<30/3=10>>10 points. How much was the middle letter valued at before the word score was tripled? ** If before the word score was tripled, the first and third letters were each valued at one point apiece, then the value of the middle letter was 10-1-1=<<10-1-1=8>>8 points. #### 8