Ethan has $620 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 $427.57. He buys 4 bicycle reflectors for $11.38 each and a pair of bike gloves for $31.41. He plans to spend some or all of the money he has left to buy new biking outfits for $57.75 each. Write and solve an inequality which can be used to determine oo, the number of outfits Ethan can purchase while staying within his budget.

So our limit is the 620$ that he has to spend. We know for a fact that the bike costs about 427.57 dollars. 4 $11.38 reflectors are purchased as well as gloves for 31.41. Now however many outfits he can purchase cannot exceed or go over his money limit of 620 so the variable (x) represents how many outfits he can buy without going over.

adioabiola adioabiola · Answer 2 · 2021-08-31T17:59:45+02:00

We are required to write an inequality for the problem and also solve it

The number of biking outfit Ethan can purchase is 2

Given:

Total amount Ethan has = $620

Amount of bicycle = $427.57

Bicycle reflector = $11.38

Cost of 4 Bicycle reflector = $11.38 × 4

= $45.52

Cost of bike glove = $31.41

Cost of biking outfit = $57.75

Write an inequality to solve for the number of biking outfit Ethan can purchase

let

x = number of biking outfit Ethan can purchase

620 ≥ 427.57 + 45.52 + 31.41 + 57.75x

620 ≥ 504.5 + 57.75x

620 - 504.5 ≥ 57.75x

115.5 ≥ 57.75x

x ≥ 115.5 / 57.75

x ≥ 2

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