Question

Use proportional reasoning to solve for the missing value in each of the following scenarios. Enter a numerical answer only.A business jet burns 300 gallons of gasoline per hour. How many gallons of gasoline will the jet burn in a three hour flight?The business jet burns a0 gallons of gasoline in a three hour flight.On average, one gallon of gasoline weights approximately six pounds. How many pounds does fifty gallons of gasoline weigh?Fifty gallons of gasoline weighs a1 pounds.For every one yard, there are thirty-six inches. Convert 2,124 inches to an equivalent number of yards.2,124 inches = a2 yards A person who weighs 240 pounds burns 180 calories per mile of running. If a person burns thirty-six calories by running one mile, how much does the person weigh?A person who weighs a3 pounds, burns thirty-six calories while running one mile.5.A rice casserole recipe serves four people and requires two tablespoons of butter. How many people will the rice casserole serve if the recipe is scaled to require six tablespoons of butter?A rice casserole that requires six6 tablespoons of butter serves a4 people.
THIS IS MIDDLE SCHOOL WORK

Answer 1

Q1. A business jet burns 300 gallons of gasoline per hour. How many gallons of gasoline will the jet burn in a three hour flight?

Let the number of gallons required in 3 hours be = x

$\frac{x}{3}=\frac{300}{1}$

$x=900$ gallons.

Answer: The business jet burns 900 gallons of gasoline in a three hour flight.

Q2. On average, one gallon of gasoline weights approximately six pounds. How many pounds does fifty gallons of gasoline weigh?

Let the weight in pounds of 50 gallons be = x

$\frac{1}{6}=\frac{50}{x}$

$x=300$ pounds

Answer: Fifty gallons of gasoline weighs 300 pounds.

Q3. For every one yard, there are thirty-six inches. Convert 2,124 inches to an equivalent number of yards.

Let the number of yards be = x

$\frac{1}{36}=\frac{x}{2124}$

$36x=2124$

$x=\frac{2124}{36}=59$ yards

Answer: 2,124 inches = 59 yards

Q4.  A person who weighs 240 pounds burns 180 calories per mile of running. If a person burns thirty-six calories by running one mile, how much does the person weigh?

Let the weight of the person be = x

$\frac{240}{180}=\frac{x}{36}$

$180x=240\times36$

$180x=8640$

$x=48$ pounds

Answer: A person who weighs 48 pounds, burns thirty-six calories while running one mile.

Q5. A rice casserole recipe serves four people and requires two tablespoons of butter. How many people will the rice casserole serve if the recipe is scaled to require six tablespoons of butter?

Let the number of people who can be served be = x

$\frac{4}{2}=\frac{x}{6}$

$2x=24$

$x=12$

Answer: A rice casserole that requires six tablespoons of butter serves 12 people.