After an earthquake, 32 homes in a remote area were checked by public safety officers before nightfall. They found that 22 of the houses had no gas, including 10 houses whose own gas lines were damaged. (A house loses its gas service if it has damage to its own line or if there is damage to the feeder line.) Of those houses that lost their gas, only 4 did not lose their electricity. Twenty-four houses in all had no electricity; the same number of them lost only their electricity as those that both lost electricity and had damage to their gas lines. How many of the houses checked did not lose either gas or electricity, and how many lost only their gas service!

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 41SE: A cell phone company offers 6 different voice packages and 8 different data packages. Of those, 3...
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After an earthquake, 32 homes in a remote area were checked by
public safety officers before nightfall. They found that 22 of the houses
had no gas, including 10 houses whose own gas lines were damaged.
(A house loses its gas service if it has damage to its own line or if there
is damage to the feeder line.) Of those houses that lost their gas, only
4 did not lose their electricity. Twenty-four houses in all had no
electricity, the same number of them lost only their electricity as those
that both lost electricity and had damage to their gas lines. How many
of the houses checked did not lose either gas or electricity, and how
many lost only their gas service!
Students, draw anywhere on this slide!
Transcribed Image Text:After an earthquake, 32 homes in a remote area were checked by public safety officers before nightfall. They found that 22 of the houses had no gas, including 10 houses whose own gas lines were damaged. (A house loses its gas service if it has damage to its own line or if there is damage to the feeder line.) Of those houses that lost their gas, only 4 did not lose their electricity. Twenty-four houses in all had no electricity, the same number of them lost only their electricity as those that both lost electricity and had damage to their gas lines. How many of the houses checked did not lose either gas or electricity, and how many lost only their gas service! Students, draw anywhere on this slide!
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