Anna wants to grow some lettuce in the garden and would like to grow enough to have at least 12 large salads. She estimates that, despite her best efforts, half of the lettuce will be lost to insects and rabbits. Each lettuce plant is estimated to provide 3 large salads. How many lettuce plants should Anna grow in the garden?

The total number of plants needed for 12 dinner salads (without loss to insects or rabbits) is 12 / 3 salads from each lettuce plant =

<<12/3=4>>4 lettuce plants Since Anna expects to lose half of her plants to insects and rabbits, so we need to plant twice as many plants or 4 * 2 = <<4*2=8>>8 lettuce plants #### 8 The novel that everyone is reading for English class has half as many pages as their history book. Their science book has 4 times the amount of pages as their novel. If the history book has 300 pages, how many pages does their science book have? Their novel is half as long as their 300-page history book so it is 300/2 = <<300/2=150>>150 pages Their science book has 4 times the amount of pages as their novel, which is 150 pages, so their science book has 4*150 = <<4*150=600>>600 pages #### 600 CJ, KJ, and AJ collect stamps. CJ has 5 more than twice the number of stamps that KJ has, and KJ has half as many as AJ. If the three boys have 930 stamps all together, how many stamps does AJ have? Let x represent the number of stamps for AJ KJ:x/2 stamps CJ:5+2(x/2)=5+x Total:x+(x/2)+5+x=930 (5/2)x+5=930 (5/2)x=925 x=925(2/5)=370 stamps #### 370 There are 12 bananas and 4 apples in the blue basket. The red basket holds half as many fruits as the blue basket. How many fruits are in the red basket? In the blue basket, there are 12 bananas + 4 apples = <<12+4=16>>16 fruits. The red basket holds half of this so there are 16 fruits in the blue basket / 2 = <<16/2=8>>8 fruits in the red basket. #### 8 Tina buys a loaf of bread for $50, 2oz of ham for $150, and a cake for $200. What percent of the cost is the ham and bread? The total cost of buying bread and ham was $50+$150 = $<<50+150=200>>200 Together with the cake, Tina paid $200+$200 = $<<200+200=400>>400 for the items Since the total percentage for all the items is 100%, the cost of ham and bread is $200/$400 * 100% = <<200/400*100=50>>50% of the total cost of items. #### 50 Everett built a rectangular concrete patio that was four times as long as it was wide. If the perimeter of the patio was 100 feet, what was the length of the patio, in feet? Let's make "x" be the width of the patio. Then the length of the patio would be 4*x. And the perimeter of the patio would be the sum of all four sides, or x+(4*x)+x+(4*x)=100 feet. This simplifies to 10x=100 feet. And the width of the patio x=<<10=10>>10 feet. And the length of the patio is 4*x = 4*10 = 40 feet. #### 40 A class has 60 students. The number of students who bring their lunch is thrice the number of those who eat in the school cafeteria. The rest of the students don't eat lunch. If 10 students eat in the school cafeteria, how many don't eat lunch? Multiplying the number of students eating at the cafeteria by three means that 3 * 10 = <<3*10=30>>30 students bring lunch. The total number of students that eat lunch is 10 + 30 = <<10+30=40>>40 students Since the class has 60 students, those who don't eat lunch are 60-40 = <<60-40=20>>20 students. #### 20 On the night of the dance, 400 students show up to the party. 70% of the students who showed up were invited. If 40% of those invited to the party had their invitation revoked and were not allowed into the party, how many invited students attended the party? On the night of the dance 70/100*400 = <<70/100*400=280>>280 students who showed up to the party were invited. If 40% of those invited to the party had their invitation revoked, there were 40/100*280 = <<40/100*280=112>>112 students who showed up and had their invitation revoked. The number of invited students who attended the party is 280-112 = <<280-112=168>>168 #### 168 Marcel bought a pen for $4, and a briefcase for five times the price. How much did Marcel pay for both items? The cost of the briefcase was 5 * 4 = $<<5*4=20>>20. So for both items Marcel paid 4 + 20 = $<<4+20=24>>24. #### 24 A tank contains 6000 liters of water, 2000 liters evaporated, and then 3500 liters were drained by Bob. How many liters are in the tank if it now rains for 30 minutes and every 10 minutes 350 liters of rain are added to the tank? After the first evaporation, the water tank has 6000 liters - 2000 liters = <<6000-2000=4000>>4000 liters. After the second extraction, the water tank has 4000 liters - 3500 liters= <<4000-3500=500>>500 liters The tank is refilled with rain 30 minutes / 10 minutes = <<30/10=3>>3 times The amount of water refilled with rain is 3 times * 350 liters per time = <<3*350=1050>>1050 liters. With the additional rainwater, the water tank has 500 liters + 1050 liters = <<500+1050=1550>>1550 liters. #### 1550