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Brianna has $620 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 $261.04.
She buys 3 bicycle reflectors for $13.07 each and a pair of bike gloves for
$13.57
• She plans to spend some or all of the money she has left to buy new biking
outfits for $51.03 each.
.
Write and solve an inequality which can be used to determine x, the number
of outfits Brianna can purchase while staying within her budget.

Respuesta :

The inequality that can be used to determine x, the number of outfits Brianna can purchase while staying within her budget is

Given:

  • Amount with Brianna = $620

  • Cost of new bicycle = $261.04

  • Cost of 3 bicycle reflectors = 3 × $13.07

= $39.21

  • Cost of bike gloves = $13.57

  • New biking outfit = $51.03

  • Number of biking outfit = x

The inequality equation:

261.04 + 39.21 + 13.57 + 51.03x ≤ 620

  • 313.82 + 51.03x ≤ 620

51.03x ≤ 620 - 313.82

51.03x ≤ 306.18

x ≤ 306.18 / 51.03

x = 6

Therefore, the number of outfits Brianna can purchase while staying within her budget is 6

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