A private company raised $2500 to be used for charity. They donated 80% to a public foundation with 8 organizations. How much money will each organization receive?
How much money will the public foundation have? ** The public foundation will have $2500 x 80/100 = $
<<2500*80/100=2000>>2000. How much money will each organization receive? ** So, each of the organizations will receive $2000 / 8 = $<<2000/8=250>>250. #### 250 Sam is serving spaghetti and meatballs for dinner. The pasta costs $1.00 per box, a jar of sauce is $2.00 and 1 pound of meatballs is $5.00. He wants to stretch this meal into 8 servings. How much does each serving cost? How much does the pasta, sauce and meatballs cost? ** The pasta is $1.00, the sauce is $2.00 and the meat is $5.00 for a total of 1+2+5 = $<<1+2+5=8.00>>8.00 How much does each serving cost? ** He wants to stretch this meal into 8 servings so each serving will cost 8/8 = $<<8/8=1.00>>1.00 #### 1 Sophia ate 1/6 of her pie and she put the rest on the fridge. If the pie left in the fridge weighs 1200 grams, how many grams did Sophia eat? How many pieces are left in the fridge? ** If Sophia ate 1/6 of the pie, then 6/6 - 1/6 = 5/6 is left in the fridge. Define a variable ** Let x be the pie's original weight. How many grams does the pie currently weigh? ** The current weight of the pie can be described by 5x/6=1200 grams How many grams does the pie weigh? ** So, 5x=7200. How many grams was the pie originally? ** And, the original weight is x = <<1440=1440>>1440 grams. How many grams did Sophia eat? ** So, Sophia ate 1440 grams original - 1200 grams after= <<1440-1200=240>>240 grams of pie. #### 240 A bag full of sugar weighs 16 kg. A bag full of salt weighs 30 kg. If you remove 4 kg from the combined weight of these two bags, how much do the bags now weigh? How much do the bags together weigh? ** The bags together weigh 16 + 30 = <<16+30=46>>46 kg. How much do the bags weigh after removing the 4 kg? ** Removing the 4 kg, the bags will weigh 46 - 4 = <<46-4=42>>42 kg. #### 42 A store has an 8% discount on all items. If Shara paid $184 for a pair of shoes, how much did Shara save? How much did Shara pay? ** The price that Shara paid is only 100% - 8% = 92% of the original price. How much did Shara pay? ** So, every 1% is equal to $184/92 = $2. How much did Shara save? ** Therefore, Shara saved $2 x 8 = $<<2*8=16>>16. #### 16 Eduardo is a teacher. He taught 3 classes last week while his colleague Frankie taught double what Eduardo teaches. How many classes did Eduardo and Frankie teach in total? How many classes did Frankie teach? ** Frankie taught 3 * 2 = <<3*2=6>>6 classes. How many classes did Frankie and Eduardo teach in total? ** Combined, Frankie and Eduardo taught 3 + 6 = <<3+6=9>>9 classes. #### 9 Cary is 72 inches tall. Her younger brother Bill is half her height, and her younger sister Jan is 6 inches taller than Bill. How tall is Jan? How tall is Bill? ** First find Bill's height by dividing Cary's height by 2: 72 inches / 2 = <<72/2=36>>36 inches How tall is Jan? ** Then add six inches to find Jan's height: 36 inches + 6 inches = <<36+6=42>>42 inches #### 42 A family is going to the amusement park. The adult tickets cost $22 for admission, and the tickets for children cost $7. The family consists of 2 adults and 2 children. What is the total price the family will pay for admission? Define a variable ** To solve this problem you can set up an equation to represent the total price the family will pay, with a representing the number of adult tickets, c representing the number of children’s tickets, and p representing the total price of admission. Write an equation ** Thus 22a + 7c = p How much will the family pay for admission? ** Plug in the number of adults and children that plan to go to the amusement park: 22(2) + 7(2) = $<<22*2+7*2=58>>58 is the total cost for admission #### 58 There are 60 pieces of chips in Lara's bag. One-sixth of the chips are blue. There are 34 red chips and the rest are green. How many green chips are in Lara's bag? How many blue chips are there? ** There are 60 x 1/6 = <<60*1/6=10>>10 blue chips. How many chips are not green? ** There are 10 + 34 = <<10+34=44>>44 chips that are not green. How many green chips are there? ** Thus, 60 - 44 = <<60-44=16>>16 chips are green. #### 16 Beth went shopping. She bought 15 more cans of peas than twice the number of cans of corn that she bought. If she bought 35 cans of peas, how many cans of corn did she buy? Define a variable ** Let the number of cans of corn she bought be a How many cans of corn did she buy? ** Twice the number of corn cans is 2*a = 2a How many cans of peas did she buy? ** The 35 cans of peas were 15 more than twice the number of corn cans which means 15+2a = 35 Simplify ** Solving the equation: 2a = 20 How many cans of corn did she buy? ** a = 20/2 = <<20/2=10>>10 cans of corn #### 10