James buys a jar of hot sauce. Each serving is .5 ounces. He uses 3 servings every day. if the container is 2 ounces less than 1 quart how many days will it last?

How many ounces is the jar? ** A quart is 32 ounces so this jar is 32-2=

<<32-2=30>>30 ounces How many ounces does James use every day? ** James uses 3*.5=<<3*.5=1.5>>1.5 ounces a day How many days will it last? ** So it last 30/1.5=<<30/1.5=20>>20 day #### 20 Ray has 175 cents in nickels. Ray gives 30 cents to Peter, and he gives twice as many cents to Randi as he gave to Peter. How many more nickels does Randi have than Peter? How many cents did Ray give to Randi? ** Ray gave 30*2 = <<30*2=60>>60 cents to Randi. How many nickels does Randi have? ** Randi has 60/5 = <<60/5=12>>12 nickels. How many nickels does Peter have? ** Peter has 30/5 = <<30/5=6>>6 nickels. How many more nickels does Randi have than Peter? ** Randi has 12-6 = <<12-6=6>>6 more nickels than Peter. #### 6 Florida is starting a promotion where every car that arrives gets one orange per passenger. A family of 4 arrives and gets their oranges. They had planned to stop for a snack later where they would spend $15 in total, but now that they have the oranges they don't have to buy them at the stop. When they get to the stop they see that the oranges would've cost $1.5 each. What percentage of the money they planned to spend did they save instead? How much would the oranges have cost? ** The oranges would've cost $6 because 4 x 1.5 = <<4*1.5=6>>6 What percentage of their original spending plan did they save? ** The proportion of their original spending plan was .4 because 6 / 15 = <<6/15=.4>>.4 What percentage of the money they planned to spend did they save? ** They saved 40% of the money they planned to spend because .4 x 100 = <<.4*100=40>>40 #### 40 Three years ago, Rosie purchased an art piece for $4000. The same art piece will be three times as much in another three years. How much money will the art piece have increased by? How much will the art piece be worth in another three years? ** If the art piece was bought at $4000, and its price in three years will be three times its buying price, it will be worth 3*$4000 = $12000 in another three years. How much will the art piece have increased by? ** The price of the art piece will increase by $12000-$4000 = $<<12000-4000=8000>>8000 #### 8000 The bald eagle can dive at a speed of 100 miles per hour, while the peregrine falcon can dive at a speed of twice that of the bald eagle. Starting from the same treetop, if it takes the bald eagle 30 seconds to dive to the ground, how long, in seconds, will it take the peregrine falcon to dive the same distance? How fast does the peregrine falcon dive? ** Twice the speed of the bald eagle is 100*2=<<100*2=200>>200 miles per hour. Define a variable ** Let "x" be the time in seconds it takes the peregrine falcon to travel to the ground. How long does it take the peregrus falcon to travel to the ground? ** Thus, based on the ratio of their speeds, the following expression is given: x=30*(100/200). How long does it take the peregrine falcon to travel to the ground? ** Thus, x=15 seconds. #### 15 When the machine is cold, as it is in the first hour of production, it takes 6 minutes to produce each molded flower pot. Thereafter, once it is warm, it takes only 5 minutes to produce each pot. How many additional pots are produced in the last hour of the day, compared to the first? How many pots does the machine produce in the first hour? ** In the first hour, it produces 60/6=<<60/6=10>>10 pots. How many pots does the machine produce in the last hour? ** In the last hour, it produces 60/5=<<60/5=12>>12 pots. How many more pots are produced in the last hour, compared to the first? ** 12-10=<<12-10=2>>2 more pots are produced in the last hour. #### 2 Matthew drinks 4 glasses of water per day. Each glass is 5 ounces. He decides to just buy a 35 ounces water bottle. How many times will he fill it each week? How many ounces of water does Matthew drink each day? ** He drinks 20 ounces of water a day because 4 x 5 = <<4*5=20>>20 How many ounces of water does Matthew drink in a week? ** The drinks 140 ounces in a week because 7 x 20 = <<7*20=140>>140 How many times will Matthew fill the bottle each week? ** He will fill it up 4 times because 140 / 35 = <<140/35=4>>4 #### 4 Michael’s largest watermelon weighs 8 pounds. His neighbor, Clay, grew a watermelon three times that size. And their mutual friend, John, grew a watermelon that was half the size of Clay’s. How big was John’s watermelon? How much does Clay’s watermelon weigh? ** Michael’s watermelon weighs 8 pounds and Clay’s weighs 3 times that so it weighs 8*3 = <<8*3=24>>24 pounds How much does John’s watermelon weigh? ** John’s watermelon is half the size of Clay’s 24-pound watermelon so it weighs 24/2 = <<24/2=12>>12 pounds #### 12 Gus eats 2 eggs-omelet for breakfast. He has an egg salad sandwich made with 3 eggs for lunch. He then has an egg drop soup made with 1 egg for dinner. How many eggs did Gus eat altogether? How many eggs does Gus eat for breakfast and lunch? ** Gus eats 2 + 3 = <<2+3=5>>5 eggs for breakfast and lunch. How many eggs does Gus eat altogether? ** Including dinner, he eats a total of 5 + 1 = <<5+1=6>>6 eggs. #### 6 Jack makes his own cold brew coffee. He makes it in batches of 1.5 gallons. He drinks 96 ounces of coffee every 2 days. It takes 20 hours to make coffee. How long does he spend making coffee over 24 days? How many ounces are in a batch? ** He makes it in batches of 1.5*128=<<1.5*128=192>>192 ounces How many ounces of coffee does Jack drink in a day? ** He drinks 96/2=<<96/2=48>>48 ounces of coffee a day How many days does Jack drink the coffee? ** So he drinks the coffee in 192/48=<<192/48=4>>4 days How many batches does Jack make in 24 days? ** So in 24 days he makes 24/4=<<24/4=6>>6 batches How many hours does Jack spend making coffee? ** That means he spends 6*20=<<6*20=120>>120 hours making coffee #### 120