Marcy uses 6 ounces of pet cleaner to clean up a dog stain, 4 ounces to clean up a cat stain, and 1 ounce to clean up a rabbit stain. How much cleaner does she need to clean up after 6 dogs, 3 cats and 1 rabbit?
First find the total amount of cleaner used for the dogs: 6 ounces/dog * 6 dogs =
<<6*6=36>>36 ounces Then find the total amount of cleaner used for the cats: 4 ounces/cat * 3 cats = <<4*3=12>>12 ounces Then add the amount of cleaner used for each species to find the total amount used: 36 ounces + 12 ounces + 1 ounce = <<36+12+1=49>>49 ounces #### 49 Jake's dad can drive the distance from their house to the water park in 30 minutes. He spends half that journey driving 28 miles per hour and the other half driving 60 miles per hour on the highway. If Jake can bike 11 miles per hour, how many hours will it take him to bike to the water park? First find how long half Jake's dad's trip is: 30 minutes / 2 = <<30/2=15>>15 minutes Then convert the minutes to hours: 15 minutes * 1 hour/60 minutes = .25 hours Now find how far Jake's dad travels at 28 miles per hour: .25 hours * 28 miles per hour = <<.25*28=7>>7 miles Then find how far Jake's dad travels at 60 miles per hour: .25 hours * 60 miles per hour = <<.25*60=15>>15 miles Now add those distances to find the total distance to the water park: 7 miles + 15 miles = <<7+15=22>>22 miles Now divide the total distance by Jake's speed to find how long it takes him: 22 miles / 11 miles/hour = <<22/11=2>>2 hours #### 2 Jenine can sharpen a pencil 5 times before it runs out. She needs to sharpen a pencil for every 1.5 hours of use. She already has ten pencils and needs to write for 105 hours. A new pencil costs $2. How much does she need to spend on more pencils to be able to write for 105 hours? A pencil last 7.5 hours because 5 x 1.5 = <<5*1.5=7.5>>7.5 The pencils she has will last 75 hours because 10 x 7.5 = <<10*7.5=75>>75 She needs 30 more hours of writing because 105 - 75 = <<105-75=30>>30 She will need 4 more pencils to reach this because 30 / 7.5 = <<30/7.5=4>>4 She will spend $8 on pencils because 4 x 2 = <<4*2=8>>8 #### 8 Marly has ten $20 bills, eight $10 bills, and four $5 bills. If she wants to change her bills to $100 bills, how many pieces of $100 bills will she have? The ten $20 bills amount to $20 x 10 = $<<20*10=200>>200. The eight $10 bills amount to $10 x 8 = $<<10*8=80>>80. The four $5 bills amount to $5 x 4 = $<<5*4=20>>20. So, Marly has a total of $200 + $80 + $20 = $<<200+80+20=300>>300. Therefore, she will have $300/$100 = <<300/100=3>>3 pieces of $100 bills #### 3 Ms. Cole teaches math in three levels of classes in her school. There are four times as many students in Ms. Cole's fourth-level math class as in her sixth-level math class. The number of students in her seventh-level math class is twice that in the fourth-level math class. If Ms. Cole's sixth-level class has 40 students, how many math students does Ms. Cole teach? Since Ms. Cole's sixth-level math class has 40 students and four times as many students in her fourth-level class, there are 4*40 = <<4*40=160>>160 in her fourth-level math class. For the two levels, Ms. Cole teaches math to 160+40 = <<160+40=200>>200 students. If the number of students in her seventh-level math class is twice that in the fourth-level math class, then she teaches 2*160 = <<2*160=320>>320 students in the seventh-level math class. Ms. Cole teaches 320+200 = <<320+200=520>>520 math students in the school. #### 520 Kim drives 30 miles to her friend's house. On the way back she has to take a detour that is 20% longer. She spends 30 minutes at her friend's house. She drives at a speed of 44 mph. How long did she spend away from home? The trip back was 30*.2=<<30*.2=6>>6 miles longer than the trip there. So it was 30+6=<<30+6=36>>36 miles. So the total drive was 30+36=<<30+36=66>>66 miles. That means she drove for 66/44=<<66/44=1.5>>1.5 hours. She stayed with her friend 30/60=<<30/60=.5>>.5 hours. So the total time was 1.5+.5=<<1.5+0.5=2>>2 hours. #### 2 Traci and Harris are baking cakes together. Traci has brought flour from her own house and Harris has 400g of flour in his house. Each cake needs 100g of flour and Traci and Harris have created 9 cakes each. How much flour, in grams, did Traci bring from her own house? To make the cakes, Traci and Harris used a total of 9 cakes * 100g of flour per cake = <<9*100=900>>900g of flour. Traci therefore brought 900g of needed flour – 400g of flour from Harris’ flour = 500g of flour from her own house. #### 500 Beth has 72 marbles of three colors. Each color has the same amount of marbles. If Beth loses 5 red, twice as many blue, and three times as many yellow ones than red ones, how many marbles does she have left? Beth has 72/3 = <<72/3=24>>24 marbles of each color Beth has 24-5 = <<24-5=19>>19 red ones left. Beth lost 5*2 = <<5*2=10>>10 blue ones. Beth has 24-10 = <<24-10=14>>14 blue ones left. Beth lost 5*3 = <<5*3=15>>15 yellow ones. Beth has 24-15 = <<24-15=9>>9 yellow ones left. She has a total of 19+14+9 = <<19+14+9=42>>42 marbles left. #### 42 A man is purchasing a pair of sneakers at a club store where he receives a membership discount of 10% off any purchase. In addition to the membership discount, the man also has a coupon for $10 off any pair of sneakers. If the man wants to purchase a $120 pair of sneakers and the membership discount must be applied after the coupon, how much will he pay for the sneakers after using both the coupon and membership discount? The coupon is applied first, which reduces the cost of the sneakers to 120 - 10 = $<<120-10=110>>110. Next, the 10% discount leads to a reduction in price of 110*0.1 = $<<110*0.1=11>>11. Therefore, the final price the man must pay is 110 - 11 = $<<110-11=99>>99. #### 99 William's class set a goal each week of the number of cans of food that is to be collected. On the first day, 20 cans were collected. Then the number of cans increased by 5 each day. If they collected 5 days a week to reach their goal, how many cans of food was their goal per week? On the second day, they collected 20 + 5 = <<20+5=25>>25 cans. On the third day, they collected 25 + 5 = <<25+5=30>>30 cans. On the fourth day, they collected 30 + 5 = <<30+5=35>>35 cans. On the fifth day, they collected 35 + 5 = <<35+5=40>>40 cans. Thus, the goal of William's class is to collect a total of 20 + 25 + 30 + 35 + 40 =<<20+25+30+35+40=150>>150 cans of food per week. #### 150