James decides to cut down some trees. In the first 2 days, he cuts down 20 trees each day. For the next 3 days his 2 brothers help him cut down trees. They cut 20% fewer trees per day than James. How many total trees were cut down?

He cuts down 2*20=

<<2*20=40>>40 trees by himself Each of his brothers cuts down 20*.2=<<20*.2=4>>4 fewer trees per day So they each cut down 20-4=<<20-4=16>>16 trees So for the next 3 days they cut down 20+16*2=<<20+16*2=52>>52 trees per day So they cut down 40+52*3=<<40+52*3=196>>196 trees #### 196 Each dandelion produces 300 seeds. 1/3rd of the seeds land in water and die. 1/6 of the starting number are eaten by insects. Half the remainder sprout and are immediately eaten. How many dandelions survive long enough to flower? First find the number of seeds that land in water: 300 seeds * 1/3 = <<300*1/3=100>>100 seeds Then find the number of seeds that are eaten: 300 seeds * 1/6 = <<300*1/6=50>>50 seeds Subtract the number of seeds that are destroyed to find the number that sprout: 300 seeds - 100 seeds - 50 seeds = <<300-100-50=150>>150 seeds Then divide that number by 2 to find the number of sprouts that survive: 150 seeds / 2 = <<150/2=75>>75 seeds #### 75 A movie theater charges $5 for matinee tickets, $7 for evening tickets, and $10 for opening night tickets. A bucket of popcorn costs $10. On Friday, they had 32 matinee customers, 40 evening customers, and 58 customers for an opening night showing of a movie. If half the customers bought popcorn, how much money in dollars did the theater make on Friday night? The movie theater made 5 * 32 = $<<5*32=160>>160 in matinee tickets. It made 7 * 40 = $<<7*40=280>>280 in evening tickets. It made 10 * 58 = $<<10*58=580>>580 in opening night tickets. There were 32 + 40 + 58 = <<32+40+58=130>>130 customers. Half of the customers bought popcorn, so 130 / 2 = <<130/2=65>>65 bought popcorn. Thus, the theater made 10 * 65 = $<<10*65=650>>650 from popcorn. Therefore, in all, the theater made 160 + 280 + 580 + 650 = $<<160+280+580+650=1670>>1670 on Friday night. #### 1670 Gloria has five times as many dimes as quarters in her graduation money. She decides to put 2/5 of the quarters aside for future use. If she has 350 dimes, calculate the combined number of quarters and dimes she has after putting aside 2/5 of the quarters? If the number of dimes is 20 times the number of quarters, she has 350/5 = 70 quarters. When she puts 2/5 of the quarters away, the number of quarters reduces by 2/5*70 = <<2/5*70=28>>28 She's now left with 70-28 = <<70-28=42>>42 quarters. In total, she has 42 quarters + 350 dimes = <<42+350=392>>392 #### 392 Emma and Briana invested some capital into a business. Emma's investment is supposed to yield 15% of the capital annually while Briana's should yield 10% annually. If Emma invested $300 and Briana invested $500, what will be the difference between their return-on-investment after 2 years? 15% of $300 is (15/100)*$300 = $<<(15/100)*300=45>>45 Emma will earn an annual ROI of $45 for 2 years for a total of $45*2 = $<<45*2=90>>90 10% of $500 is (10/100)*$500 = $<<(10/100)*500=50>>50 Briana will earn an annual ROI of $50 for 2 years for a total of $50*2 = $<<50*2=100>>100 The difference between their ROI after 2 years is $100-$90 = $<<100-90=10>>10 #### 10 Jamie's father gained 5 pounds over the holidays that he wants to lose so his pants will not be as snug. He asks Jamie to help him keep track of his calories. Jamie's father burns 2,500 calories of fat a day by doing light exercise. There are 3,500 calories in a pound of body fat. How many days will it take for Jamie's father to burn off 5 pounds if he does light exercise and sticks to eating 2000 calories a day? First Jamie wants to figure out how many calories his father needs to lose from 5 pounds x 3500 calories each = <<5*3500=17500>>17,500 calories to burn off. Then Jamie needs to figure out how many calories his father will burn per day if he burns 2500 calories - eating 2000 calories = burning <<2500-2000=500>>500 calories a day. If Jamie's father wants to burn off 17,500 calories total at 500 calories a day, 17,500 / 500 = <<17500/500=35>>35 days to burn off 5 pounds. #### 35 Hamza has several empty buckets of different sizes, holding either 3, 5, or 6 liters. She fills the 5-liter bucket and pours as much as she can into the 3-liter bucket. Then, she pours the remainder into the 6-liter bucket. How much more water, in liters, can she put into the 6-liter bucket, without overflowing? Pouring the 5-liter bucket into the 3-liter bucket leaves 5-3=2 liters, which go into the 6-liter bucket. Then there are 6-2=<<6-2=4>>4 liters that can be added. #### 4 The difference between the price of an orange and the price of a pear equals the price of a banana. If the total cost of an orange and a pear is $120 and a pear costs $90, calculate the total price of buying 200 bananas and twice as many oranges as bananas. If the total cost of an orange and a pear is $120, and a pear costs $90, an orange costs $120-$90 = $<<120-90=30>>30 Since the difference between the price of an orange and a pear is the price of a banana, a banana is sold at $90-$30 = $<<90-30=60>>60 To buy 200 bananas, you'll pay $60*200 = $<<60*200=12000>>12000 When you twice as many oranges as bananas, you buy 2*200 = <<2*200=400>>400 oranges. The total cost of buying 400 oranges is 400*30 = $<<400*30=12000>>12000 The total price of buying 200 bananas and twice as many oranges as bananas is $12000+$12000 = $24000 #### 24000 Kayden's business delivered an equal number of the 400 cartons of milk it had processed to four of its customers in different towns. However, each of the four customers returned 60 cartons damaged during delivery. What's the total number of cartons that were accepted by the customers? Each of the four customers received delivery of 400/4= <<400/4=100>>100 cartons of milk. Since each customer returned 60 cartons that were damaged during delivery, the number of cartons accepted is 100-60 = <<100-60=40>>40 cartons by each customer. If each customer accepted 40 cartons, the total number of cartons that the four customers did not return is 40*4 = <<40*4=160>>160 #### 160 Five percent of the 300 senior students got a full merit college scholarship and ten percent of them got a half merit scholarship. How many senior students did not get any scholarships? 300 x 5/100 = <<300*5/100=15>>15 senior students got a full merit scholarship. 300 x 10/100 = <<300*10/100=30>>30 senior students got a half merit scholarship. So, a total of 15 + 30 = <<15+30=45>>45 students got scholarships. Therefore, 300 - 45 = <<300-45=255>>255 senior students did not get any scholarships. #### 255