Let's solve the inequality to determine the number of outfits Tariq can purchase while staying within his budget.
Given:
Amount Tariq has to spend: $640
Cost of a new bicycle: $291.24
Cost of 4 bicycle reflectors: $19.56 each
Cost of bike gloves: $16.52
Cost of each biking outfit: $50.80
Let's assume the number of outfits Tariq can purchase is represented by x.
The total cost of the items he has already purchased is:
Cost of bicycle = $291.24
Cost of 4 bicycle reflectors = $19.56 * 4 = $78.24
Cost of bike gloves = $16.52
The remaining amount Tariq has to spend can be calculated as:
Remaining amount = Total amount - (Cost of bicycle + Cost of reflectors + Cost of gloves)
Remaining amount = $640 - ($291.24 + $78.24 + $16.52)
Now, we need to determine the maximum number of outfits Tariq can purchase with the remaining amount. Each outfit costs $50.80.
Inequality: x * $50.80 ≤ Remaining amount
Substituting the values:
x * $50.80 ≤ $640 - ($291.24 + $78.24 + $16.52)
Simplifying further:
x * $50.80 ≤ $640 - $385
x * $50.80 ≤ $255
To solve for x, we divide both sides of the inequality by $50.80:
x ≤ $255 / $50.80
x ≤ 5
Therefore, the maximum number of outfits Tariq can purchase while staying within his budget is 5.