Audrey has $440 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $259.52.
She buys 2 bicycle reflectors for $3.07 each and a pair of bike gloves for $29.12.
She plans to spend some or all of the money she has left to buy new biking outfits for $72.61 each.

Write and solve an inequality which can be used to determine oo, the number of outfits Audrey can purchase while staying within her budget.

Respuesta :

The number of outfits Audrey can purchase while staying within her budget is 2

Inequality

  • Amount Audrey has to spend at a bicycle store = $440

  • Cost of new bicycle = $259.52

  • Cost of each bicycle reflectors = $3.07

  • Total cost of bicycle reflectors = $3.07 × 2

= $6.14

  • Cost of a pair of bike gloves = $29.12.

  • Cost of each biking outfits = $72.61

  • Number of bicycle outfits = x

The inequality:

259.52 + 6.14 + 29.12 + 72.61x ≤ 440

294.78 + 72.61x ≤ 440

72.61x ≤ 440 - 294.78

72.61x ≤ 145.22

x ≤ 145.22 / 72.61

x ≤ 2

Therefore, the number of outfits Audrey can purchase while staying within her budget.

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