Transcript Proportions and Ratios Real World Problems

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. Bob is taking his son to look at colleges. The
first college they plan to visit is 150 miles from
their home. In the first hour they drive at a rate
of 60 mph. If they want to reach their
destination in 2 ½ hours, what speed must they
average for the remainder of their trip?
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. A map scale designates 1” = 50 miles. If the
distance between two towns on the map is 2.75
inches, how many miles must you drive to go
from the first town to the second?
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Callie asks her fellow sixth-grade students to
name their favorite flavor of ice cream. She
finds that 3 out of every 8 students prefer
strawberry to vanilla. If there are 160 students,
how many prefer strawberry?
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The sixth grade class is selling pencils. They
are putting a ratio of 2 red pencils for every 3
blue pencils in a bag. If the students have 100
red pencils, how many blue pencils do they
need?
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. Complete the following.
a) If a car travels 100 km in 4 hours, the rate of
travel is ___ km/h
b) If one dozen eggs is sold for $2.40, the rate is
___ cents per egg.
c) If a tap fills a 450 litre tank with water in 1
hour, the water flows at the
rate of ___ litres per minute.
d) If $24.00 is charged for 120 kWh of electricity
consumed, the rate is ___ cents/kWh.
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Alejandro and Skylar went deep-sea fishing.
They discovered that 4 out of every 5 fish they
caught were flounder. If they caught 36 fish,
how many were flounder?
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The New Jersey Devils ratio of wins to loses to ties
is: 6 : 3 : 1.
a. What is the ratio of wins to total games played?
b. What is the ratio of loses to total games played?
c. What is the ratio of ties to total games played?
d. If there have been 50 games played, how many
have the Devils won, lost, and tied?
e. How many games should they win, lose, and tie
in an 82 game season?
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In a public opinion poll, 624 people from a
sample of 1,100 indicated they would vote for a
specific candidate. How many votes can the
candidate expect to receive from a population
of 40,000?
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A pump can fill a 750-gallon tank in 35
minutes. How long will it take to fill a 1000gallon tank with this same pump?
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A person who weighs 200 pounds on Earth
would weigh about 32 pounds on the moon.
Find the weight of a person on Earth who
would weigh 15 pounds of the moon.
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A crew of loggers cleared ½ acre of lumber in 4
days. How long will it take the same crew to
clear 2 ¾ acres of lumber?
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Because of slumping sales, a small company
had to lay off some of its employees. The ratio
of total employees to employees laid off is 5 to
1. Find the total number of employees if 22 are
laid off.
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A meteorologist reports that the ratio of
snowfall in January to total snowfall during the
average winter is 2 to 5. If 34 inches have fallen
in January of the current year, find the
predicted total snowfall for the entire winter.
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A recipe calls for 2 ½ cups of flour to make 2
dozen cookies. How many cups of flour would
be required to bake 15 dozen cookies?
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The ratio of the cost of a tennis racket to tennis
balls is 18:1. If a can of balls cost $5.35, what is
the cost of the racket?
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The results of a recent survey of 1500 American
adults show that 525 approve of the job that
President George W. Bush is doing and 975 do
not approve.
a. What is the ratio of those that approve to
those that do not?
b. If there are 199 million adults in the United
States, how many approve of George W?
c. If a larger survey was done, showing 5000
people approving of George W, how many
were surveyed?
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Kareem Abdul-Jabbar holds the NBA record
for the most points scored in a career, 38,387. In
the first 280 games of his career, LeBron James
has scored 7446 points. At this rate, how many
more games will LeBron James need to play to
break Abdul-Jabbar’s career record?
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A Toyota Prius drove 208 miles on 5 gallons of
gas. How far should it be able to go on a full, 11
gallon, tank?
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A six-pack of Coke costs $2.09. At this rate,
how much should 32 cans cost?
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The Lakers have won 27 games and lost 17
games. At this rate, how many games should
they win, in an 82 game season?