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?
At a germination rate of 60%, 25 seeds will yield 60/100*25=
<<60/100*25=15>>15 plants. At a germination rate of 80%, 25 seeds will yield 80/100*25=<<80/100*25=20>>20 plants. In total, she will have grown 15+20=<<15+20=35>>35 plants. 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? First multiply the number of running time-outs by 5: 5 time-outs * 5 = <<5*5=25>>25 time-outs 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 Then divide that number by 3 to find the number of swearing time-outs: 24 time-outs / 3 = <<24/3=8>>8 time-outs 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 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? Let's say the number of men working at the company is x. Since there are 180 people, and the number of men is 20 fewer than the number of women, then x+x+20 = 180 The total number of employees in the company is 2x+20 = 180 2x=180-20 2x=160 The number of men is x=160/2 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? With two substitutions, 11+2 = <<11+2=13>>13 players from the team played the game in the first 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. The total number of players who played the game is 13+4 = <<13+4=17>>17 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? Jerry has to walk to the sink/recycling bin 28 cans / 4 cans per trip = <<28/4=7>>7 trips The round trip takes 10 seconds per way * 2 ways = <<10*2=20>>20 seconds 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 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? She has 50 x 2 = <<50*2=100>>100 silver stickers. And she also has 100 - 20 = <<100-20=80>>80 bronze stickers. So, Miss Walter has a total of 50 + 100 + 80 = <<50+100+80=230>>230 stickers. 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? 16 - 4 = <<16-4=12>>12 slices of pizza were eaten. So there were 12/2 = <<12/2=6>>6 people eating the pizza. #### 6 Jenna's doctor tells her that she should tan no more than 200 minutes a month. If she tans 30 minutes a day, two days a week for the first two weeks of the month, how many minutes can she tan in the last two weeks of the month? First find how many minutes Jenna tans each of the first two weeks: 30 minutes/day * 2 days/week = <<30*2=60>>60 minutes/week Then multiply that number by the number of weeks to find how many minutes Jenna tans in the first half of the month: 60 minutes/week * 2 weeks = <<60*2=120>>120 minutes Then subtract that time from the total time Jenna can spend tanning to find how many more minutes she can tan: 200 minutes - 120 minutes = <<200-120=80>>80 minutes #### 80 Janet is trying to decide whether to quit her job and start freelancing. She works 40 hours a week at both jobs. She get paid $30/hour at her current job, and would get paid $40/hour as a freelancer. However, she'd have to pay an extra $25 a week in FICA taxes plus $400/month in healthcare premiums. How much more would Janet make per month as a freelancer if there are four weeks in a month? First find the difference in hourly wages: $40/hour - $30/hour = $<<40-30=10>>10/hour Then multiply that difference by the number of hours she works in a week to find the weekly difference: $10/hour * 40 hours/week = $<<10*40=400>>400/week Then multiply that amount by the number of weeks in a month to find the monthly difference in her earnings: $400/week * 4 weeks/month = $<<400*4=1600>>1600/month Then find the total additional amount Janet pays in FICA taxes: $25/week * 4 weeks/month = $<<25*4=100>>100/month Then subtract Janet's extra FICA taxes and healthcare premium from the additional money she earns to find the net increase in her pay from freelancing: $1600/month - $400/month - $100/month = $<<1600-400-100=1100>>1100/month #### 1100 Maci is planning for the new school year and goes to the store to buy pens. She needs ten blue pens and 15 red pens. If a blue pen costs ten cents each and a red pen costs twice as much as the blue pen, how much money does Maci pay for the pens? Maci pays 10 * $0.10 = $<<10*0.10=1>>1 for the blue pens. Each red pen costs 2*$0.10 = $<<2*0.10=0.20>>0.20 She pays 15*$0.20 = $<<15*0.20=3.00>>3.00 for the red pens. To buy all the pens she needs, Maci pays $3+$1= $<<3+1=4>>4 #### 4