Zhang Lei spent $\$20.00$ during his last outing at the bowling alley. This included a one time shoe rental fee of $\$3.50$ . He spent the rest of the money on bowling a number of games. If it took Zhang Lei $45$ minutes to bowl each game and he spent $2$ hours and $15$ minutes bowling, how much did it cost per game.

Full solution

Q. Zhang Lei spent

\$20.00

during his last outing at the bowling alley. This included a one time shoe rental fee of

\$3.50

. He spent the rest of the money on bowling a number of games. If it took Zhang Lei

45

minutes to bowl each game and he spent

2

hours and

15

minutes bowling, how much did it cost per game.

Subtract shoe rental fee: First, subtract the shoe rental fee from the total amount spent to find out how much money was spent on the games alone. $\newline$ $\$20.00 - \$3.50 = \$16.50$ spent on games.
Convert bowling time: Next, convert the total bowling time from hours and minutes to minutes. $\newline$ $2$ hours and $15$ minutes is the same as $2 \times 60$ minutes + $15$ minutes, which equals $135$ minutes.
Divide total time: Now, divide the total time spent bowling by the time it takes to bowl one game to find out how many games he played. $135$ minutes $\div$ $45$ minutes per game = $3$ games.
Find cost per game: Finally, divide the total amount spent on games by the number of games to find the cost per game. $\$16.50 \div 3 \text{ games} = \$5.50 \text{ per game}.$