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

Total no. of crossword puzzles he completed was $7$crossword puzzles.

Step-by-step solution

Step 1. Given information.

Consider the given question,

Gerry completed $22$Sudoku puzzles.

The number of Sudoku puzzles he completed is eight more than twice the number of crossword puzzles.

Assume nto be the no. of crossword puzzles. Then,

role="math" localid="1647079563935" $$\begin{gathered} 22=8+2n \\ 2n=14 \\ n=7 \end{gathered}$$

Step 2. Check the answer.

Consider the given question,

We know that the number of Sudoku puzzles Gerry completed is eight more than twice the number of crossword puzzles.

$$\begin{gathered} 22=8+2\left(7\right) \\ 22=8+14 \\ 22=22 \end{gathered}$$

Hence, $LHS=RHS$and proved.