document.write( "Question 1190071: 3. A sports team is taken to a competition in p cars. Each car contains 4 members of the team, except for the last car which only contains 1 team member.
\n" ); document.write( "a) Write an expression for the number of people in the team.
\n" ); document.write( "b) The manager checks names off as car arrive and all 17 players arrive. Write and solve an equation to find out how many cars were full.
\n" ); document.write( "c) How many cars were used in total?
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Algebra.Com's Answer #821627 by Theo(13342)\"\" \"About 
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p = the number of cars.
\n" ); document.write( "each car contains 4 members except the last car which contains 1.
\n" ); document.write( "the number of people in the cars is 4 * (p - 1) + 1.
\n" ); document.write( "the equation for the number of cars required to carry 17 team members is 17 = 4 * (p - 1) + 1.
\n" ); document.write( "subtract 1 from both sides of this equation to get 16 = 4 * (p - 1).
\n" ); document.write( "divide both sides of this equation by 4 to get 4 = p - 1
\n" ); document.write( "add 1 to both sides of this equation to get 5 = p.
\n" ); document.write( "the number of cars is 5.
\n" ); document.write( "17 = 4 * (p - 1) + 1 becomes 17 = 4 * (5 - 1) + 1 which becomes 17 = 4 * 4 + 1 which becomes 17 = 16 + 1 which becomes 17 = 17.
\n" ); document.write( "this confirms p = 5 as the number of cars is good.
\n" ); document.write( "the number of cars that were full is 5 - 1 = 4.
\n" ); document.write( "1 of the cars only carried one team member, so the total number of cars required was 5.\r
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