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Example Questions
Example Question #1 : Word Problems
Mark is three times as old as his son Brian. In ten years, Mark will be years old. In how many years will Mark be twice as old as Brian?
In ten years, Mark will be years old, so Mark is
years old now, and Brian is one-third of this, or
years old.
Let be the number of years in which Mark will be twice Brian's age. Then Brian will be
, and Mark will be
. Since Mark will be twice Brian's age, we can set up and solve the equation:
Mark will be twice Brian's age in years.
Example Question #1 : Solving Systems Of Equations In Word Problems
Gary is twice as old as his niece Candy. How old will Candy will be in five years when Gary is years old?
Not enough information is given to determine the answer.
Since Gary will be 37 in five years, he is years old now. He is twice as old as Cathy, so she is
years old, and in five years, she will be
years old.
Example Question #202 : Hspt Mathematics
A parking garage charges a minimum fee of to park in the garage. It also charges an additional fee of
for every hour, or portion of an hour, in which a person parks in the garage. Cliff wants to pay a maximum of
to park there. If he pulls into the garage at exactly
, when must he leave at latest?
Let be the number of hours that Cliff parks his car in the garage. Since he pays a flat fee of
plus
per hour or portion thereof, he pays
dollars. Since he does not want to spend more than
,
Since a portion of an hour counts as much as an hour, must be a whole number.
implies that
.
Cliff can park in the garage for a maximum of 6 hours, and since he entered the garage at , he must exit
hours later:
,
or .
Example Question #61 : Common Core Math: Grade 5
Solve the following:
When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the multiplication.
Example Question #21 : Operations & Algebraic Thinking
Solve:
When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the multiplication.
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