Manny has a tree that grows at the rate of fifty centimeters every two weeks. If the tree is currently 2 meters tall, how tall, in centimeters, will the tree be in 4 months?

A month has four weeks, so there are 4*4=

<<4*4=16>>16 weeks in four months. Since the tree grows for five centimeters every two weeks, it will grow by fifty centimeters every week for 16/2 = 8 weeks. The tree will increase in height by 8*50 = <<8*50=400>>400 centimeters after four months. Since 1 meter equals 100 centimeters, the tree is currently 2*100 = <<2*100=200>>200 centimeters tall. After growing by 400 centimeters for four months, the tree will be 400+200 = <<400+200=600>>600 centimeters tall. #### 600 Justin can run 2 blocks in 1.5 minutes. If he is 8 blocks from home, in how many minutes can he run home? There are 8/2 = <<8/2=4>>4 sets of two blocks that Justin can run. Thus, he can run home for 4 x 1.5 = <<4*1.5=6>>6 minutes. #### 6 Kayla and Kylie picked 200 apples total. Kayla picked 1/4 of the apples that Kylie picked. How many apples did Kayla pick? Let x be the number of apples Kylie picked Kayla picked (1/4)x apples 200=x+(1/4)x 200=(5/4)x 200(4/5)=160=x apples Kayla picked (1/4)(160)=40 apples #### 40 To buy a book, you pay $20 for each of the first 5 books at the supermarket, and for each additional book you buy over $20, you receive a discount of $2. If Beatrice bought 20 books, how much did she pay at the supermarket? For the first five books, the total cost is $20*5 = $<<20*5=100>>100 For every additional book over $5, you pay $2 less, totaling to $20-$2 = $18 Beatrice bought 20 books, so the number of books at which she received the $2 discount is 20-5 = <<20-5=15>>15 books. For the 15 books, Beatrice paid 15*$18 = $<<15*18=270>>270 In total, Beatrice paid $100+$270 = $<<100+270=370>>370 for the 20 books. #### 370 Mary is writing a story, and wants her 60 characters to be split according to their initials. Half of her characters have the initial A, and half of this amount have the initial C. Mary wants the rest of her characters to have the initials D and E, but she wants there to be twice as many characters with the initial D as there are characters with the initial E. How many of Mary’s characters have the initial D? Half the characters have the initial A, which is a total of 60 / 2 = <<60/2=30>>30 characters. This means that 30 / 2 = <<30/2=15>>15 characters have the initial C. Mary wants the remaining 60 – 30 – 15 = <<60-30-15=15>>15 characters to have the initials D or E. For there to be twice as many characters with the initial D, the characters are divided into 2 + 1 = <<2+1=3>>3 parts. Dividing by this means there are 15 / 3 = <<15/3=5>>5 characters with the initial E. This leaves 15 – 5 = <<15-5=10>>10 characters with the initial D. #### 10 A pickup truck can fill 20 eight gallon water cans (each can filled three quarters of its capacity) in three hours. If each can is filled to full capacity instead, how long, in hours, will it take to fill 25 cans? Each can is filled with 8/4*3=<<8/4*3=6>>6 gallons of water. A total of 6*20=<<6*20=120>>120 gallons of water is filled in 3 hours. In 1 hour, 120/3=<<120/3=40>>40 gallons of water is filled. 25 full cans can hold 25*8=<<25*8=200>>200 gallons of water. It will take 200/40=<<200/40=5>>5 hours to fill 25 cans to full capacity. #### 5 A man drives 60 mph for 3 hours. How fast would he have to drive over the next 2 hours to get an average speed of 70 mph? To have an average speed of 70 mph over 5 hours he needs to travel 70*5=<<70*5=350>>350 miles. He drove 60*3=<<60*3=180>>180 miles in the first 3 hours He needs to travel another 350-180=<<350-180=170>>170 miles over the next 2 hours. His speed needs to be 170/2=<<170/2=85>>85 mph #### 85 A performing magician has a disappearing act where he makes a random member of his audience disappear and reappear. Unfortunately, one-tenth of the time, the audience member never reappears. However, one-fifth of the time, two people reappear instead of only one. If the magician has put on 100 performances of the act this year, how many people have reappeared? One-tenth of the time, no one reappears, so there have been 100 / 10 = <<100/10=10>>10 times no one has reappeared. One-fifth of the time, two people reappear, so there have been 100 / 5 = <<100/5=20>>20 times 2 people have reappeared. In those 20 times, 2 * 20 = <<2*20=40>>40 people have reappeared in all. Thus, there have been 100 - 10 - 20 = <<100-10-20=70>>70 times one person has reappeared. Therefore, over 100 acts, 70 + 40 = 100 people have reappeared in all. #### 110 Joseph has a refrigerator, a water heater in his house, and an electric oven that consumes power at different rates. The total amount of money that Joseph pays for the energy used by the refrigerator is three times the amount he pays for the power used by the water heater. If the electric oven uses power worth $500 in a month, twice what Joseph pays for the power the water heater uses, calculate the total amount he pays for the power used by these gadgets. If the electric oven uses power worth $500 in a month, twice what Joseph pays for the power the water heater uses, Joseph pays 1/2*$500=$<<500/2=250>>250 for power used by the water heater. The total amount of money that Joseph pays for the power used by the water heater and the electric oven is $250+$500 = $<<250+500=750>>750 The total amount of money that Joseph pays for the energy used by the refrigerator is three times the amount he pays for the power used by the water heater, a total of 3*$250=$<<3*250=750>>750 For the three gadgets, Joseph pays $750+$750 = $<<750+750=1500>>1500 for the power they use. #### 1500 A restaurant is counting their sales for the day. They sold 10 meals at $8 each, 5 meals at $10 each, and 20 meals at $4 each. In dollars, how much money did the restaurant make throughout the day? From the first set of meals, the restaurant earned 10 meals * $8 = $<<10*8=80>>80. From the second set of meals, the restaurant earned 5 meals * $10 = $<<5*10=50>>50. From the third set of meals, the restaurant earned 20 meals * $4 = $<<20*4=80>>80. In total, the restaurant earned $80 + $50 + $80 = $<<80+50+80=210>>210. #### 210