Question

Gerry worked Sudoku puzzles and crossword puzzles this week. The number of Sudoku puzzles he completed is eight more than twice the number of crossword puzzles. He completed $22$Sudoku puzzles. How many crossword puzzles did he do ?

Short answer

Number of crossword puzzles solved by Gerry =$7$

Step-by-step solution

Step 1. Assume the variables for Sudoku puzzles and Crossword puzzles played by Gerry.

Let the number of Sudoku puzzles worked by Gerry = $S$

And the number of Crossword puzzles worked =$C$

Step 2. For the equation for the statement.

"Number of Sudoku puzzles he completed is eight more than twice the number of crossword puzzles"

$S=2C+8$

Step 3. SubstituteS=22.

$22=2C+8$

Step 4. Solve the equation,

$22-8=2C+8-8$

$2C=14$

Step 5. Divide both the sides of the equation by2,

$\frac{2C}{2}=\frac{14}{2}$

$C=7$