Answer: Let's denote the number of biking outfits Bashir can purchase as "x."
We know that Bashir has $420 to spend, and he has already spent some money on a new bicycle, reflectors, and bike gloves. To determine the maximum number of outfits he can purchase, we need to set up an inequality that represents the remaining budget after his initial purchases.
First, let's calculate the total cost of his initial purchases:
Cost of the new bicycle = $215.52
Cost of 4 bicycle reflectors = 4 * $4.88
Cost of bike gloves = $10.21
Total cost of initial purchases = $215.52 + 4 * $4.88 + $10.21
Now, we can subtract the total cost of his initial purchases from his total budget of $420 to find the remaining budget:
Remaining budget = $420 - (Total cost of initial purchases)
Now, to find the maximum number of outfits he can purchase (x), we need to divide the remaining budget by the cost of each biking outfit:
Remaining budget = x * Cost per biking outfit
Now, we can set up the inequality:
Remaining budget ≥ x * Cost per biking outfit
Substitute the values:
$420 - (Total cost of initial purchases) ≥ x * $73.36
Now, simplify the inequality:
$420 - ($215.52 + 4 * $4.88 + $10.21) ≥ x * $73.36
$420 - ($215.52 + $19.52 + $10.21) ≥ x * $73.36
$420 - $245.25 ≥ x * $73.36
$174.75 ≥ x * $73.36
Now, we can solve for x by dividing both sides by $73.36:
x ≤ $174.75 / $73.36
x ≤ 2.38
Since the number of outfits cannot be a fraction, the maximum number of outfits Bashir can purchase while staying within his budget is 2 outfits. The inequality that represents this is:
x ≤ 2