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Hunter has 2122 \frac{1}{2} hours to spend at Wally's Game World. He spends 14\frac{1}{4} of an hour playing arcade games, and he spends the rest of the time playing miniature golf with his friends. If each round of golf takes 34\frac{3}{4} of an hour, how many rounds does Hunter play?\newlineWrite your answer as a whole number, fraction, or mixed number. Simplify any fractions.\newline____ rounds

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Q. Hunter has 2122 \frac{1}{2} hours to spend at Wally's Game World. He spends 14\frac{1}{4} of an hour playing arcade games, and he spends the rest of the time playing miniature golf with his friends. If each round of golf takes 34\frac{3}{4} of an hour, how many rounds does Hunter play?\newlineWrite your answer as a whole number, fraction, or mixed number. Simplify any fractions.\newline____ rounds
  1. Calculate Total Time: Calculate the total time Hunter spends playing miniature golf. Subtract the time spent on arcade games from the total time at Wally's Game World.\newline2122 \frac{1}{2} hours - 14\frac{1}{4} hour = 2142 \frac{1}{4} hours.\newlineConvert mixed number to improper fraction: 214=(2×4+1)/4=942 \frac{1}{4} = \left(2\times4 + 1\right)/4 = \frac{9}{4} hours.
  2. Determine Rounds of Golf: Determine how many rounds of golf Hunter can play. Divide the time spent on miniature golf by the duration of one round.\newline94\frac{9}{4} hours ÷\div 34\frac{3}{4} hours per round = (94)(43)=123=4\left(\frac{9}{4}\right) \cdot \left(\frac{4}{3}\right) = \frac{12}{3} = 4 rounds.

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