Question

In a Bosque County election, 2171 voters voted on

two propositions. Proposition 1 would impose a
countywide sales tax of 0.5% to establish a system
of bike trails. Proposition 2 would ban all 8-line
gambling machines. A total of 1332 voted for
Proposition 1 while 1628 voted for Proposition 2.
How many voted for both propositions?

Answer 1

789 voters

Explanation:

To determine the number of voters who voted for both propositions, we can use the inclusion-exclusion principle. The formula is:

Total votes = Votes for Proposition 1 + Votes for Proposition 2 - Votes for Both Propositions

In this case:

2171 total votes = 1332 votes for Proposition 1 + 1628 votes for Proposition 2 - Votes for Both Propositions

Therefore, 789 voters voted for both propositions.