A cook had 300 carrots in a bucket he was using to cook meals for a restaurant. Before lunch, he had used 2/5 of the carrots. By the end of the day, he had chopped and used 3/5 of the remaining carrots. How many carrots were not used that day?

Before lunch, the cook had used 2/5*300 =

<<2/5*300=120>>120 carrots. The number of remaining carrots after the cook used 2/5 of them is 300-120 = <<300-120=180>>180. The cook had used 3/5*180 = <<3/5*180=108>>108 of the remaining carrots by the end of the day. The number of carrots that the cook did not use that day is 180-108 = <<180-108=72>>72. #### 72 Brittany is older than Rebecca by 3 years, who is 25. Brittany goes on a 4-year vacation. How old is Brittany when she returns from her vacation? Brittany is 25+3 = <<25+3=28>>28 years old. Brittany is 28+4 = <<28+4=32>>32 years when she returns from her vacation. #### 32 Nancy's ex owes her child support. He's supposed to pay 30% of his income each year. For 3 years, he made $30,000/year, then he got a 20% raise for the next four years. If he's only ever paid $1,200, how much does he owe her? First find how much money the ex made during the first 3 years by multiplying his annual earnings by the number of years: 3 years * $30,000/year = $<<3*30000=90000>>90,000/ Then find how much his raise was by multiplying his salary by the percentage raise: $30,000/year * 20% = $<<30000*20*.01=6000>>6,000/year Then add the raise to his original salary to find his new salary: $6,000/year + $30,000/year = $<<6000+30000=36000>>36,000/year Then find how much he made working at the new salary by multiplying it by the 4 years he worked: 4 years * $36,000/year = $<<4*36000=144000>>144,000 Add his earnings from the three years and the four years to find his total earnings: $144,000 + $90,000 = $<<144000+90000=234000>>234,000 Now multiply his total earnings by 30% to find how much he was supposed to pay: $234,000 * 30% = $<<234000*30*.01=70200>>70,200 Now subtract the amount he paid from this number to find how much he owes: $70,200 - $1,200 = $<<70200-1200=69000>>69,000 #### 69000 Tommy has a flag that is 5 feet wide and 4 feet tall. He wants to paint it with a new design. He knows from experience that he needs to paint both sides. Paint costs $2 a quart and a quart is good for 4 square feet. How much does he spend on paint? Each side of the flag is 20 square feet because 5 x 4 = <<5*4=20>>20 Both side total to 40 square feet because 2 x 20 = <<2*20=40>>40 He will need 10 quarts because 40 / 4 = <<40/4=10>>10 This will cost $20 because 10 x 2 = <<10*2=20>>20 #### 20 Katrina has 120 cookies to sell at her bakery. She plans to take home any cookies she doesn’t sell by the end of the day. In the morning, she sells 3 dozen cookies. During the lunch rush, she sells 57 cookies. In the afternoon, she sells 16 more cookies. How many cookies does she have left to take home? There are 12 cookies in 1 dozen, so in the morning, she sold 12 x 3 dozen = <<12*3=36>>36 cookies. Throughout the day, she sold 36 cookies in the morning + 57 cookies at lunch + 16 cookies in the afternoon = <<36+57+16=109>>109 cookies. She started with 120 cookies – 109 cookies sold = <<120-109=11>>11 cookies to take home. #### 11 Avery puts 4 shirts in the donation box. He adds twice as many pants as shirts in the box. He throws in half as many shorts as pants in the box. In total, how many pieces of clothes is Avery donating? The total number of shirts in the donation box is <<4=4>>4. The total number of pants in the donation box is 4 x 2 = <<4*2=8>>8. The total number of shorts in the donation box is 8 / 2 = <<8/2=4>>4. The total number of clothes donated is 4 + 8 + 4 = <<4+8+4=16>>16 pieces. #### 16 One of the clubs at Georgia's school was selling carnations for a fundraising event. A carnation costs $0.50. They also had a special where you could buy one dozen carnations for $4.00. If Georgia sent a dozen carnations to each of her 5 teachers and bought one carnation for each of her 14 friends, how much money would she spend? She wants to send a dozen carnations that cost $4/dz to each of her 5 teachers, so 4*5 = $<<4*5=20>>20 She has 14 friends and she knows a dozen carnations is cheaper than buying 12 single carnations. So 14-12 = <<14-12=2>>2 single carnations are needed A single carnation cost $0.50 so 2*.50 = $<<2*.50=1.00>>1.00 All total she will spend 20+4+1 = $<<20+4+1=25.00>>25.00 on carnations #### 25 Southton buries their time capsule 15 feet underground. Northton buries their time capsule 12 feet higher than 4 times the depth of the Southton time capsule. How deep is Northton's time capsule buried? First multiply the depth of Southton's capsule by 4: 15 feet * 4 = <<15*4=60>>60 feet Then subtract 12 feet to find the depth of Northton's time capsule: 60 feet - 12 feet = <<60-12=48>>48 feet #### 48 Beth is a scuba diver. She is excavating a sunken ship off the coast of a small Caribbean island and she must remain underwater for long periods. Her primary tank, which she wears when she first enters the water, has enough oxygen to allow her to stay underwater for 2 hours. She also has several 1-hour supplemental tanks that she takes with her as well as stores on the ocean floor so she can change tanks underwater without having to come up to the surface. She will need to be underwater for 8 hours. How many supplemental tanks will she need? For an 8-hour dive, she will use her 2-hour primary tanks and will need supplemental tanks for 8-2=<<8-2=6>>6 additional hours. Since each supplemental tank holds 1 hour of oxygen, for 6 hours she will need 6/1=<<6/1=6>>6 supplemental tanks. #### 6 Ethan makes beeswax candles. For each candle, he uses 8 ounces of beeswax and 1 ounce of coconut oil. If he makes three less than 10 candles, what will be the combined weight of the candles in ounces? If each candle is 8 ounces of beeswax and 1 ounce of coconut oil, then each candle weighs 8+1=<<8+1=9>>9 ounces. Three less than 10 candles is 10-3=<<10-3=7>>7 candles. Thus, 7 candles, each weighing 9 ounces, will have a combined weight of 7*9=<<7*9=63>>63 ounces. #### 63