SOLUTION: During the year, Charles read five more books than twice the number of books read by Frank. If together they read a total of 29 books, how many books did each read? Please include

Question 176891: During the year, Charles read five more books than twice the number of books read by Frank. If together they read a total of 29 books, how many books did each read? Please include a "let statement".
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let F = the number of books read by Frank and let C = the number of books read by Charles.
From the problem statement:
1) C = 2F+5 "Charles read five more books than twice the number of books read by Frank"
2) C+F = 29 "...they read a total of 29 books..."
Substitute equation 1) (C = 2F+5) for C in equation 2) (C+F = 29) to get:
2a) (2F+5)+F = 29 Simplify and solve for F by combining like-terms..
2a) 2F+F+5 = 29
2a) 3F+5 = 29 Subtract 5 from both sides of the equation.
2a) 3F = 24 Divide both sides by 3.
2a) Frank read 8 books.
1) C = 2F+5 Substitute F = 8.
1) C = 2(8)+5
1) C = 16+5
1) Charles read 21 books.

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