Louie obtained 80% on a math quiz. He had 5 mistakes. How many items were there on the math quiz?
How many items were there on the math quiz? ** Louie got 100% - 80% = 20% of the total items incorrect, which is equal to 5 items.
How many items were there on the math quiz? ** So 1% is equal to 5/20 = 1/4 of an item.
How many items were there on the math quiz? ** Hence, the total number of items, represented by 100%, on the math quiz was 1/4 of an item x 100 =
<<1/4*100=25>>25. #### 25 The centerpieces at Glenda’s wedding reception include a fishbowl containing 2 fish, except for one table that has 3 fish. There are 32 tables. How many fish are there? How many fish are there? ** There are 32 tables with 2 fish in a bowl on each, so 32 tables x 2 fish = <<32*2=64>>64 fish. How many fish are there? ** One table has an additional fish, so 64 fish + 1xtra fish = 65 fish. #### 65 Mr. Roberts can buy a television for $400 cash or $120 down payment and $30 a month for 12 months. How much can he save by paying cash? How much will Mr. Roberts pay in total? ** Mr. Roberts will make a total payment of $30 x 12 = $<<30*12=360>>360 for 12 months. How much does the television cost when not paid in cash? ** Thus, the television costs $360 + $120 = $<<360+120=480>>480 when not paid in cash. How much can he save by paying cash? ** Therefore, Mr. Roberts can save $480 - $400 = $<<480-400=80>>80 by paying cash. #### 80 In the engineering department, 70% of the students are men and 180 are women. How many men are there? How many women are there? ** The percentage for women is 100% - 70% = 30%. How many students represent 1%? ** Since 180 represents 30%, then 180/30 = 6 students represent 1%. How many men are there? ** Hence, 6 x 70 = <<6*70=420>>420 students are men. #### 420 John has 2 hives of bees. One of the hives has 1000 bees and produces 500 liters of honey. The second has 20% fewer bees but each bee produces 40% more honey. How much honey does he produce? How many bees does the second hive have? ** The second hive has 20/100*1000 = <<20/100*1000=200>>200 fewer bees. How many bees does the second hive have? ** This translates to 1000-200 = <<1000-200=800>>800 bees. How many liters does each bee in the first hive produce? ** Each bee in the first hive produces 1000/500 = <<1000/500=2>>2 liters How many liters does each bee in the second hive produce? ** The second hive has bees each producing 1.4*2 = <<1.4*2=2.8>>2.8 liters How many liters does the second hive produce? ** The total amount of honey produces by the bees in the second hive is 2.8*700 = <<2.8*700=1960>>1960 How much honey does he produce? ** The total honey produced is 1960+500 = <<1960+500=2460>>2460 liters #### 2460 Alfred is storing a tonne of maize each month for the next 2 years. If 5 tonnes are stolen and 8 tonnes are given to him as a donation, how many tonnes of maize does he have at the end of the 2 years. How many tonnes of maize does Alfred store at the end of 1 year? ** Before his maize is stolen, the maize he stores at the end of 1 year is 12*1= <<12*1=12>>12 tonnes of maize. How many tonnes of maize does Alfred store at the end of 2 years? ** Before his maize is stolen, the maize he stores at the end of 2 years is 12*2= <<12*2=24>>24 tonnes of maize. How many tonnes of maize does Alfred have after his maize is stolen? ** After his maize is stolen, he is left with 24-5=<<24-5=19>>19 tonnes of maize. How many tonnes of maize does Alfred have after he receives the maize donation? ** After he receives the maize donation, he has 19+8=<<19+8=27>>27 tonnes of maize. #### 27 A factory produced televisions at a constant rate of 10 per day in a certain year. If they reduced the total production by 10 percent in the second year, calculate the total production of television by the factory in the second year. How many televisions were produced in the first year? ** Since a year has 365 days, the total television production in the first year is 10*365 = <<10*365=3650>>3650 How many televisions were produced in the second year? ** In the second year, they reduced the total television production by 10/100*3650 = <<10/100*3650=365>>365 How many televisions were produced in the second year? ** The total television production in the second year was 3650-365 = <<3650-365=3285>>3285. #### 3285 If Billy and Jenny each order a $20 steak along with a $5 drink, how much will Billy have to pay in tips if he wants to cover 80% of a 20% tip for the two of them? How much does each meal cost? ** First, we figure out the price per meal by adding the steak and the drink together, finding a cost of 20+5=<<20+5=25>>25 per meal. How much does each meal cost in total? ** Then we multiply this by 2, as there are two people eating, meaning a total cost of 25*2=<<25*2=50>>50 for both meals. How much is the total tip? ** Then we find the total tip amount for a 20% tip, by multiplying 50*.2= 10. How much should Billy contribute? ** Then we find out what 80% of this tip amount is by multiplying the desired tip of 10 by .8, finding 10*.8= <<10*.8=8>>8 dollars that Billy should contribute. #### 8 Lily is going abroad on vacation with her family. Each of her 4 siblings is bringing 2 suitcases, and her parents are bringing 3 suitcases. Lily decides that there is already too much luggage and she won't be bringing any. How many suitcases is the entire family bringing on vacation? How many suitcases do her siblings bring? ** Her siblings have brought a total of 4 siblings * 2 suitcases each = <<4*2=8>>8 suitcases. How many suitcases do her parents bring? ** Her parents have brought 2 parents * 3 suitcases each = <<2*3=6>>6 suitcases. How many suitcases are the entire family bringing on vacation? ** This is a total of 8 + 6 = <<8+6=14>>14 suitcases. #### 14 Mr. Alonzo harvested 245.5 kg of tomatoes. He sold 125.5 kg to Mrs. Maxwell and 78 kg to Mr. Wilson. How many kilograms of tomatoes are not sold? How many kilograms of tomatoes were sold? ** Mr. Alonzo was able to sell 125.5 + 78 = <<125.5+78=203.5>>203.5 kg of tomatoes. How many kilograms of tomatoes are not sold? ** So, there are 245.5 - 203.5 = <<245.5-203.5=42>>42 kg unsold tomatoes. #### 42