Concept explainers
To find: The age of the gym and auditorium buildings.
Answer to Problem 2P
The gym building is 7 years old and auditorium building is 28 years old.
Explanation of Solution
Given information: The gym is 21 years newer than the auditorium. The gym is also one fourth as old as the auditorium.
Calculation:
Let the age of auditorium as
So, the age of
Because gym is 21 years newer means it has been build after 21 years than the auditorium built.
And gym is also
Solve the equations using substitution method,
Substitute
Solve the equation for
Multiply both sides of the equation by 4.
Subtract both sides 4a,
Divide both sides by -3.
Plug in ‘
Conclusion: gym building is 7 years old and auditorium building is 28 years old.
Chapter 1 Solutions
Algebra: Structure And Method, Book 1
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