5 The left and right page numbers of an open book are two co

5. The left and right page numbers of an open book are two consecutive integers whose sum is 55. Find these page numbers.

The smaller page number is _______.

The larger page number is ________ .

6. A 13-foot piece of string is cut into two pieces so that the longer piece is 4 feet longer than twice the shorter piece. If the shorter piece is x feet long, find the lengths of both pieces.

The shorter piece is _____ feet long.

The longer piece is ______ feet long.

8. In a recent election Corrine Brown received 12,576 more votes than Bill Randall. If the total number of votes was 119,536, find the number of votes for each candidate.

Corrine Brown received _______ votes.

Solution

5.

x + y = 55

y = x + 1

x + (x + 1) = 55

2x = 54

x = 27

y = 28

Smaller page number . = 27

larger page number . = 28

6.

x + y = 13

y = 2x + 4

x +(2x + 4) = 13

3x = 9

x = 3 ft

y = 2*3 + 4 = 10 ft

Shorter piece = 3 ft

longer piece = 10 ft

8.

x + y = 119536

y = x + 12576

x + x + 12576 = 119536

x = (119536 - 12576)/2

x = 53480 votes

y = 53480 + 12576 = 66056 votes

Corrine brown received = 66056 votes