Question

Evan has $580 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 $396.95.
He buys 4 bicycle reflectors for $7.40 each and a pair of bike gloves for $22.94.
He plans to spend some or all of the money he has left to buy new biking outfits for $42.10 each.

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

Answer 1

whats the inequality

Answer 2

The total cost of the bicycle reflectors is 4 * $7.40 = $<<4*7.40=29.60>>29.60.
The total cost of the biking outfits is x * $42.10.
The total cost of the items Evan buys is $396.95 + $22.94 + $29.60 + x * $42.10.
Evan's budget is $580, so the inequality is:
$396.95 + $22.94 + $29.60 + x * $42.10 ≤ $580.
Simplifying the inequality, we get:
$449.49 + x * $42.10 ≤ $580.
Subtracting $449.49 from both sides, we get:
x * $42.10 ≤ $580 - $449.49.
x * $42.10 ≤ $130.51.
Dividing both sides by $42.10, we get:
x ≤ $130.51 / $42.10.
x ≤ 3.10.
Therefore, the number of outfits Evan can purchase while staying within his budget is x ≤ 3.

Answer 3

The inequality is:

396.95 + 22.94 + 29.60 + 42.10x ≤ 580

where x represents the number of outfits Evan can purchase.