Tyler has $600 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $233.09.
He buys 3 bicycle reflectors for $16.38 each and a pair of bike gloves for $29.13.
He plans to spend some or all of the money he has left to buy new biking outfits for $52.48 each.

Write and solve an inequality which can be used to determine xx, the number of outfits Tyler can purchase while staying within his budget.

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Answer:

  5 outfits

Step-by-step explanation:

The total of Tyler's purchases will be ...

  233.09 +3(16.38) +29.13 +52.48x ≤ 600

  52.48x ≤ 288.64 . . . . . . . . . subtract 311.36 and simplify

  x ≤ 5.5 . . . . . . . . . . . . . . divide by 52.48

Tyler can buy 5 outfits and stay within his budget.

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The number of outfits must be an integer. The largest integer less than 5.5 is 5.

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