Francine has five full boxes of crayons and 5 loose crayons, and her friend has 27 loose crayons. They need to put all of their loose crayons in a box. How many more boxes do they need if Francine has a total of 85 crayons?

How many crayons does Francine have in total? ** Francine has 85 - 5 =

<<85-5=80>>80 crayons in total that are in the boxes. How many crayons are in each box? ** Thus, each box of crayons is filled with 80/5 = <<80/5=16>>16 crayons. How many crayons do Francine and her friend need to put in the boxes? ** A total of 5 + 27 = <<5+27=32>>32 crayons need to be placed in the boxes. How many boxes do they need? ** Therefore, they still need 32/16 = <<32/16=2>>2 boxes for the loose crayons. #### 2 Making an equal number of drums of paint each day, a paint mixer takes three days to make 18 drums of paint. How many days will it take for him to make 360 drums of paint? How many drums of paint does a paint mixer make in a day? ** If a paint mixer takes three days to make 18 drums of paint in a day, he makes 18/3=<<18/3=6>>6 drums of paint. How many days will it take for him to make 360 drums of paint? ** The number of days it will take for him to make 360 drums of paint, making 6 drums a day, is 360/6=<<360/6=60>>60 days. #### 60 Itzayana is 4 inches taller than Zora, who is 8 inches shorter than Brixton. If Zara is 64 inches tall and has the same height as Brixton, calculate the average height of the four people. How tall is Zora? ** Since Brixton has the same height as Zara which is 64 inches, Zora, who is 8 inches shorter than Brixton, is 64-8 = <<64-8=56>>56 inches tall. How tall are Zara and Brixton? ** Zara and Brixton's height is 64+64 = <<64+64=128>>128 inches How tall are the three? ** If you add Zora's height, the three have a total height of 128+56 = <<128+56=184>>184 How tall is Itzayana? ** Itzayana is 4 inches taller than Zoran which means she is 56+4 = 60 inches tall How tall are the four? ** The total height of the four friends is 60+184 =<<60+184=244>>244 What is the average height of the three? ** The average height of the three is 244/4 =<<244/4=61>>61 #### 61 Casey wants to decorate her toenails and fingernails. First, she wants to do a base coat on each nail, then a coat of paint and finally a coat of glitter on every nail. It takes 20 minutes to apply each coat and 20 minutes for each coat to dry before applying the next one. Assuming Casey's nails will be done when all coats have been applied and dried, how many minutes will it take her to finish decorating her fingernails and toenails? How many nails does Casey want to paint? ** Casey wants to paint her 10 toenails + 10 fingernails = <<10+10=20>>20 nails in total. How many minutes does it take to apply the first coat? ** First she wants to do a base coat which takes 20 minutes to apply + 20 minutes to dry = <<20+20=40>>40 minutes total for the first coat. How many minutes will it take to paint her toenails and fingernails? ** It will take the same amount of time to do a coat of paint and let it dry and to do a coat of glitter and let it dry, 40 minutes x 3 different coats = <<40*3=120>>120 minutes total to paint her toenails and fingernails. #### 120 Two alien spacecraft on a sightseeing tour of Earth left New Orleans airport at 3:00 pm to travel the 448-mile distance to Dallas by air. Traveling nonstop, the first spacecraft landed in Dallas at 3:30 pm, while the second spacecraft landed in Dallas thirty minutes later. Assuming both spacecraft traveled at constant speed, what was the difference in speed, in miles per hour, between the two spacecraft? How many minutes did the first spacecraft fly? ** The first spacecraft flew for 30 minutes, or 30/60=1/2 hour. How many minutes did the second spacecraft fly? ** The second spacecraft flew for 30+30=<<30+30=60>>60 minutes, or 1 hour. What was the first spacecraft's speed? ** Thus the first spacecraft traveled at a speed of 448 miles in 1/2 hour, or 448/(1/2)=896 miles per hour. What was the second spacecraft's speed? ** The second spacecraft traveled 448 miles in 1 hour, or 448/1=<<448/1=448>>448 miles per hour. What was the difference in speed, in miles per hour, between the two spacecraft? ** The difference in speed, in miles per hour, between the two spacecraft was 896-448=<<896-448=448>>448 miles per hour. #### 448 Megan works eight hours a day and earns $7.50 per hour. If she works 20 days a month, how much will be her total earnings for two months of work? How much does Megan earn in a day? ** In a day, Megan earns 8 x $7.50 = $<<8*7.5=60>>60. How much does Megan earn in a month? ** In a month, she will be earning 20 x $60 = $<<20*60=1200>>1200. How much will be her total earnings for two months of work? ** Therefore, Megan will earn a total of 2 x $1200 = $<<2*1200=2400>>2400 for two months of work. #### 2400 Kevin has been for a run and wants to calculate how far he traveled. He ran at 10 miles per hour for half an hour, 20 miles per hour for half an hour, then ran at 8 miles per hour for 15 minutes. How many miles has Kevin run? How many miles did Kevin run at 10 mph? ** At his first speed, Kevin ran 10 miles per hour * 0.5 hours = <<10*0.5=5>>5 miles. How many miles did Kevin run at 20 mph? ** At his second speed, he ran 20 miles per hour * 0.5 hours = <<20*0.5=10>>10 miles. How many miles did Kevin run at 8 mph? ** 15 minutes is a quarter of an hour so at his third speed, he ran 8 miles per hour * 0.25 hours = <<8*0.25=2>>2 miles. How many miles did Kevin run? ** Therefore, Kevin ran a total of 5 miles + 10 miles + 2 miles = <<5+10+2=17>>17 miles. #### 17 A bag of pistachios has 80 pistachios in it. 95 percent have shells, and 75 percent of those have shells that are opened. How many pistachios in the bag have shells and have an opened shell? How many of the pistachios have shells? ** Shells:80(.95)=76 How many of the pistachios have opened shells? ** Opened Shells:76(.75)=57 #### 57 Penny has $20. Penny buys 4 pairs of socks for $2 a pair and a hat for $7. How much money does Penny have left? How much does Penny spend on socks? ** Penny buys 4 pairs of socks for $2 x 4 = $<<4*2=8>>8. How much money does Penny spend? ** In total, Penny spent $8 + $7 = $<<8+7=15>>15 on 4 pairs of socks and a hat. How much money does Penny have left? ** Penny has $20 -$15 = $<<20-15=5>>5 left after buying 4 pairs of socks and a hat. #### 5 In a house, there are 16 cats. Two of them are white, and 25% of them are black. The rest of the cats are grey. How many grey cats are in this house? How many black cats are there? ** In this house, there are 16 * 25/100 = <<16*25/100=4>>4 black cats. How many grey cats are there? ** If there are two white cats, that means that there are 16 - 4 - 2 = <<16-4-2=10>>10 grey cats in this house. #### 10