Kadeem has $680 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 $470.65.
He buys 2 bicycle reflectors for $7.87 each and a pair of bike gloves for $15.18.
He plans to spend some or all of the money he has left to buy new biking outfits for $50.98 each.

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

1 answer

Let x be the number of outfits Kadeem can purchase.

The total cost of the outfits is $50.98 * x.

The total amount of money spent so far is $470.65 (for the bicycle) + $7.87 (for the reflectors) + $7.87 (for the reflectors) + $15.18 (for the gloves), which is equal to $502.57.

The remaining amount of money is $680 - $502.57 = $177.43.

Therefore, the inequality is:
50.98x ≤ 177.43

Solving for x:
x ≤ 177.43 / 50.98

x ≤ 3.48

Kadeem can purchase a maximum of 3 outfits while staying within his budget.