John buys bags of popcorn for $4 and sells them for $8. How much profit does he get by selling 30 bags?

How much profit does each bag make? ** Each bag makes a profit of 8-4=$

<<8-4=4>>4 How much profit does John make? ** So he makes a total profit of 30*4=$<<30*4=120>>120 #### 120 Bill is trying to control the pests in his garden. Each spider he introduces eats 7 bugs, and each time he sprays the garden he reduces the total bug population to 80% of what it was previously. If the garden has 400 bugs to start, and Bill sprays once and introduces 12 spiders, how many bugs are left? How many bugs are left after spraying? ** First find the total bug population after spraying: 80% * 400 bugs = <<80*.01*400=320>>320 bugs How many bugs does each spider eat? ** Then find the total number of bugs each spider eats: 12 spiders * 7 bugs/spider = <<12*7=84>>84 bugs How many bugs are left after introducing spiders? ** Then subtract that number from the number of bugs left after spraying to find final number of bugs: 320 bugs - 84 bugs = <<320-84=236>>236 bugs #### 236 Melanie does her weekly shopping at the farmer's market. She starts with an 8-ounce wheel of brie cheese. Next is a 1 pound loaf of bread. She grabs a pound of tomatoes and 2 pounds of zucchini. After that, she grabs 1 1/2 pounds of chicken breasts and treats herself to 8 ounces of fresh raspberries and 8 ounces of fresh blueberries. How many pounds of food does she buy? How many ounces of food did she buy? ** She bought 8ounces of cheese, 8-ounce raspberries, 8 ounces of blueberries for a total of 8*3 = <<8*3=24>>24 ounces How many pounds of food does she buy? ** 16 ounces are in 1 pound and she has 24 ounces of food so she has 24/16 = <<24/16=1.5>>1.5 pounds of food How many pounds of food does she buy? ** Those items are 1.5 pounds and she bought 1 pound of bread, 1 pound of tomatoes, 2 pounds of zucchini and 1.5 pounds of chicken for a total of 1.5+1+1+2+1.5 = <<1.5+1+1+2+1.5=7>>7 pounds of food #### 7 Hortense loves daisies and sunflowers. She planted 25 daisy seeds and 25 sunflower seeds in her flower bed. If 60% of the daisy seeds germinate, and 80% of the sunflower seeds germinate, and 80% of the resulting plants produce flowers, how many plants will she grow that produce flowers? How many plants will the daisy seeds yield? ** At a germination rate of 60%, 25 seeds will yield 60/100*25=<<60/100*25=15>>15 plants. How many plants will the sunflower seeds yield? ** At a germination rate of 80%, 25 seeds will yield 80/100*25=<<80/100*25=20>>20 plants. How many plants will she grow? ** In total, she will have grown 15+20=<<15+20=35>>35 plants. How many plants will she grow that produce flowers? ** If 80% of the plants developed flowers, then she will have grown (80/100)*35=<<(80/100)*35=28>>28 plants that produce flowers. #### 28 Marcy is the lunch monitor in an elementary school cafeteria. She gives 5 time-outs for running, 1 less than five times that number of time-outs for throwing food, and 1/3 the number of food-throwing time-outs for swearing. If each time-out is 5 minutes, how much time do the students spend in time-out total? How many running time-outs are there? ** First multiply the number of running time-outs by 5: 5 time-outs * 5 = <<5*5=25>>25 time-outs How many food-throwing time-outs are there? ** Then subtract 1 from that number to find the number of food-throwing time-outs: 25 time-outs - 1 = <<25-1=24>>24 time-outs How many swearing time-outs are there? ** Then divide that number by 3 to find the number of swearing time-outs: 24 time-outs / 3 = <<24/3=8>>8 time-outs How many time-outs are there in total? ** Then add the number of each kind of time-out to find the total number: 8 time-outs + 24 time-outs + 5 time-outs = <<8+24+5=37>>37 time-outs How much time do the students spend in time-out total? ** Then multiply that number by the length of each time-out to find the total time the students spend in time-out: 37 time-outs * 5 minutes/time-out = <<37*5=185>>185 minutes #### 185 Lauryn owns a computer company that employs men and women in different positions in the company. How many men does he employ if there are 20 fewer men than women and 180 people working for Lauryn? Define a variable ** Let's say the number of men working at the company is x. Write an equation ** Since there are 180 people, and the number of men is 20 fewer than the number of women, then x+x+20 = 180 Write an equation ** The total number of employees in the company is 2x+20 = 180 Simplify ** 2x=180-20 Simplify ** 2x=160 Divide by 2 ** The number of men is x=160/2 How many men does Lauryn employ? ** There are x=80 men in the company. #### 80 A soccer team had 24 players prepared for a soccer game. The first half saw 11 players start the game with 2 substitutions made. In the second half, the team made twice as many substitutions as it made in the first half. How many players on the team did not play that day? How many players played the first half? ** With two substitutions, 11+2 = <<11+2=13>>13 players from the team played the game in the first half. How many substitutions were made in the second half? ** In the second half, the team made twice the number of substitutions it made in the first half, a total of 2*2 = <<2*2=4>>4 substitutions. How many players played the game? ** The total number of players who played the game is 13+4 = <<13+4=17>>17 How many players did not play the game? ** If the soccer team had 24 players prepared for the soccer game, the number of players who did not play the game is 24-17 = <<24-17=7>>7 players. #### 7 Jerry has a bunch of half-empty soda cans on his desk. He needs to drain all of them and put them in the recycling bin. He can carry four cans at once, and it takes him 30 seconds to drain those 4 cans. It takes him ten seconds each way to walk to the sink and recycling bin and then back to his desk. If there are 28 cans on Jerry's desk, how long does it take him to throw all of them away? How many trips does Jerry have to make? ** Jerry has to walk to the sink/recycling bin 28 cans / 4 cans per trip = <<28/4=7>>7 trips How long does it take Jerry to walk to the sink/recycling bin and back? ** The round trip takes 10 seconds per way * 2 ways = <<10*2=20>>20 seconds How long does it take him to drain the cans? ** Counting the time he spent pouring out the cans and the time the round trip took, he spent 20 seconds per trip + 30 seconds per trip = <<20+30=50>>50 seconds per trip How long does it take him to throw all of the cans away? ** With 7 round trips, he spent 50 seconds per trip * 7 trips = <<50*7=350>>350 seconds #### 350 Miss Walter has 50 gold stickers. She also has twice as many silver stickers as gold stickers, and 20 fewer bronze stickers than silver stickers. She wants to give the same number of stickers to each of her 5 students. How many stickers will each student receive? How many silver stickers does Ms. Walter have? ** She has 50 x 2 = <<50*2=100>>100 silver stickers. How many bronze stickers does Ms. Walter have? ** And she also has 100 - 20 = <<100-20=80>>80 bronze stickers. How many stickers does Miss Walter have? ** So, Miss Walter has a total of 50 + 100 + 80 = <<50+100+80=230>>230 stickers. How many stickers will each student receive? ** Therefore, her 5 students will have 230 / 5 = <<230/5=46>>46 stickers each. #### 46 Alyana has a pizza that is cut into 16 slices. After she and her friends finish eating, there are 4 slices left. If each of them ate 2 slices of pizza, how many people ate the pizza? How many slices of pizza were eaten? ** 16 - 4 = <<16-4=12>>12 slices of pizza were eaten. How many people ate the pizza? ** So there were 12/2 = <<12/2=6>>6 people eating the pizza. #### 6